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Finding the Fourth Proportional to 468.96, 702.42 and 306.15

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Solution

The fourth proportional to 468.96, 702.42 and 306.15 is: 458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.96 : 702.42 = 306.15 : x
  2. Step 2: Convert to fraction form
    468.96/702.42 = 306.15/x
  3. Step 3: Cross multiply
    468.96x = 702.42 × 306.15
  4. Step 4: Simplify right side
    468.96x = 215,045.88
  5. Step 5: Solve for x
    x = 215,045.88/468.96
  6. Step 6: Final answer
    x = 458.56

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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.