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Finding the Fourth Proportional to 372.72, 558.12 and 257.52

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Solution

The fourth proportional to 372.72, 558.12 and 257.52 is: 385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.72 : 558.12 = 257.52 : x
  2. Step 2: Convert to fraction form
    372.72/558.12 = 257.52/x
  3. Step 3: Cross multiply
    372.72x = 558.12 × 257.52
  4. Step 4: Simplify right side
    372.72x = 143,727.06
  5. Step 5: Solve for x
    x = 143,727.06/372.72
  6. Step 6: Final answer
    x = 385.62

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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.