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Finding the Fourth Proportional to 332.40, 500.82 and 306.16

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Solution

The fourth proportional to 332.40, 500.82 and 306.16 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.40 : 500.82 = 306.16 : x
  2. Step 2: Convert to fraction form
    332.40/500.82 = 306.16/x
  3. Step 3: Cross multiply
    332.40x = 500.82 × 306.16
  4. Step 4: Simplify right side
    332.40x = 153,331.05
  5. Step 5: Solve for x
    x = 153,331.05/332.40
  6. Step 6: Final answer
    x = 461.28

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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.