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Finding the Fourth Proportional to 415.50, 572.99 and 341.70

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Solution

The fourth proportional to 415.50, 572.99 and 341.70 is: 471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.50 : 572.99 = 341.70 : x
  2. Step 2: Convert to fraction form
    415.50/572.99 = 341.70/x
  3. Step 3: Cross multiply
    415.50x = 572.99 × 341.70
  4. Step 4: Simplify right side
    415.50x = 195,788.97
  5. Step 5: Solve for x
    x = 195,788.97/415.50
  6. Step 6: Final answer
    x = 471.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.