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Finding the Fourth Proportional to 30.82, 46.23 and 10.53

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Solution

The fourth proportional to 30.82, 46.23 and 10.53 is: 15.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.82 : 46.23 = 10.53 : x
  2. Step 2: Convert to fraction form
    30.82/46.23 = 10.53/x
  3. Step 3: Cross multiply
    30.82x = 46.23 × 10.53
  4. Step 4: Simplify right side
    30.82x = 486.80
  5. Step 5: Solve for x
    x = 486.80/30.82
  6. Step 6: Final answer
    x = 15.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.