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Finding the Fourth Proportional to 415.01, 572.82 and 257.62

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Solution

The fourth proportional to 415.01, 572.82 and 257.62 is: 355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.01 : 572.82 = 257.62 : x
  2. Step 2: Convert to fraction form
    415.01/572.82 = 257.62/x
  3. Step 3: Cross multiply
    415.01x = 572.82 × 257.62
  4. Step 4: Simplify right side
    415.01x = 147,567.49
  5. Step 5: Solve for x
    x = 147,567.49/415.01
  6. Step 6: Final answer
    x = 355.58

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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.