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Finding the Fourth Proportional to 30.67, 42.28 and 28.24

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Solution

The fourth proportional to 30.67, 42.28 and 28.24 is: 38.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.67 : 42.28 = 28.24 : x
  2. Step 2: Convert to fraction form
    30.67/42.28 = 28.24/x
  3. Step 3: Cross multiply
    30.67x = 42.28 × 28.24
  4. Step 4: Simplify right side
    30.67x = 1,193.99
  5. Step 5: Solve for x
    x = 1,193.99/30.67
  6. Step 6: Final answer
    x = 38.93

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Find fourth proportional to 15.34, 21.14 and 14.12
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.