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Finding the Fourth Proportional to 376.52, 565.14 and 280.76

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Solution

The fourth proportional to 376.52, 565.14 and 280.76 is: 421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.52 : 565.14 = 280.76 : x
  2. Step 2: Convert to fraction form
    376.52/565.14 = 280.76/x
  3. Step 3: Cross multiply
    376.52x = 565.14 × 280.76
  4. Step 4: Simplify right side
    376.52x = 158,668.71
  5. Step 5: Solve for x
    x = 158,668.71/376.52
  6. Step 6: Final answer
    x = 421.41

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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.