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Finding the Fourth Proportional to 30.50, 46 and 28.76

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Solution

The fourth proportional to 30.50, 46 and 28.76 is: 43.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.50 : 46 = 28.76 : x
  2. Step 2: Convert to fraction form
    30.50/46 = 28.76/x
  3. Step 3: Cross multiply
    30.50x = 46 × 28.76
  4. Step 4: Simplify right side
    30.50x = 1,322.96
  5. Step 5: Solve for x
    x = 1,322.96/30.50
  6. Step 6: Final answer
    x = 43.38

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.