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Finding the Fourth Proportional to 375.97, 562.78 and 306.85

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Solution

The fourth proportional to 375.97, 562.78 and 306.85 is: 459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.97 : 562.78 = 306.85 : x
  2. Step 2: Convert to fraction form
    375.97/562.78 = 306.85/x
  3. Step 3: Cross multiply
    375.97x = 562.78 × 306.85
  4. Step 4: Simplify right side
    375.97x = 172,689.04
  5. Step 5: Solve for x
    x = 172,689.04/375.97
  6. Step 6: Final answer
    x = 459.32

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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.