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Finding the Fourth Proportional to 333.12, 502.32 and 306.24

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Solution

The fourth proportional to 333.12, 502.32 and 306.24 is: 461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.12 : 502.32 = 306.24 : x
  2. Step 2: Convert to fraction form
    333.12/502.32 = 306.24/x
  3. Step 3: Cross multiply
    333.12x = 502.32 × 306.24
  4. Step 4: Simplify right side
    333.12x = 153,830.48
  5. Step 5: Solve for x
    x = 153,830.48/333.12
  6. Step 6: Final answer
    x = 461.79

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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.