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Finding the Fourth Proportional to 415, 572.80 and 257.66

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Solution

The fourth proportional to 415, 572.80 and 257.66 is: 355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 572.80 = 257.66 : x
  2. Step 2: Convert to fraction form
    415/572.80 = 257.66/x
  3. Step 3: Cross multiply
    415x = 572.80 × 257.66
  4. Step 4: Simplify right side
    415x = 147,587.65
  5. Step 5: Solve for x
    x = 147,587.65/415
  6. Step 6: Final answer
    x = 355.63

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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.