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Finding the Fourth Proportional to 375.55, 560.87 and 314.73

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Solution

The fourth proportional to 375.55, 560.87 and 314.73 is: 470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.55 : 560.87 = 314.73 : x
  2. Step 2: Convert to fraction form
    375.55/560.87 = 314.73/x
  3. Step 3: Cross multiply
    375.55x = 560.87 × 314.73
  4. Step 4: Simplify right side
    375.55x = 176,522.62
  5. Step 5: Solve for x
    x = 176,522.62/375.55
  6. Step 6: Final answer
    x = 470.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.