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Finding the Fourth Proportional to 372.97, 559.53 and 257.47

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Solution

The fourth proportional to 372.97, 559.53 and 257.47 is: 386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.97 : 559.53 = 257.47 : x
  2. Step 2: Convert to fraction form
    372.97/559.53 = 257.47/x
  3. Step 3: Cross multiply
    372.97x = 559.53 × 257.47
  4. Step 4: Simplify right side
    372.97x = 144,062.19
  5. Step 5: Solve for x
    x = 144,062.19/372.97
  6. Step 6: Final answer
    x = 386.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.