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Finding the Fourth Proportional to 415.21, 572.73 and 257.89

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Solution

The fourth proportional to 415.21, 572.73 and 257.89 is: 355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.21 : 572.73 = 257.89 : x
  2. Step 2: Convert to fraction form
    415.21/572.73 = 257.89/x
  3. Step 3: Cross multiply
    415.21x = 572.73 × 257.89
  4. Step 4: Simplify right side
    415.21x = 147,701.34
  5. Step 5: Solve for x
    x = 147,701.34/415.21
  6. Step 6: Final answer
    x = 355.73

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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.