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Finding the Fourth Proportional to 415.23, 572.74 and 341.42

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Solution

The fourth proportional to 415.23, 572.74 and 341.42 is: 470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.23 : 572.74 = 341.42 : x
  2. Step 2: Convert to fraction form
    415.23/572.74 = 341.42/x
  3. Step 3: Cross multiply
    415.23x = 572.74 × 341.42
  4. Step 4: Simplify right side
    415.23x = 195,543.18
  5. Step 5: Solve for x
    x = 195,543.18/415.23
  6. Step 6: Final answer
    x = 470.93

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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.