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Finding the Fourth Proportional to 372.07, 557.65 and 268.80

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Solution

The fourth proportional to 372.07, 557.65 and 268.80 is: 402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.07 : 557.65 = 268.80 : x
  2. Step 2: Convert to fraction form
    372.07/557.65 = 268.80/x
  3. Step 3: Cross multiply
    372.07x = 557.65 × 268.80
  4. Step 4: Simplify right side
    372.07x = 149,896.32
  5. Step 5: Solve for x
    x = 149,896.32/372.07
  6. Step 6: Final answer
    x = 402.87

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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.