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Finding the Fourth Proportional to 373.52, 515.40 and 257.24

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Solution

The fourth proportional to 373.52, 515.40 and 257.24 is: 354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.52 : 515.40 = 257.24 : x
  2. Step 2: Convert to fraction form
    373.52/515.40 = 257.24/x
  3. Step 3: Cross multiply
    373.52x = 515.40 × 257.24
  4. Step 4: Simplify right side
    373.52x = 132,581.50
  5. Step 5: Solve for x
    x = 132,581.50/373.52
  6. Step 6: Final answer
    x = 354.95

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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.