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Finding the Fourth Proportional to 378.49, 567.15 and 280.52

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Solution

The fourth proportional to 378.49, 567.15 and 280.52 is: 420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.49 : 567.15 = 280.52 : x
  2. Step 2: Convert to fraction form
    378.49/567.15 = 280.52/x
  3. Step 3: Cross multiply
    378.49x = 567.15 × 280.52
  4. Step 4: Simplify right side
    378.49x = 159,096.92
  5. Step 5: Solve for x
    x = 159,096.92/378.49
  6. Step 6: Final answer
    x = 420.35

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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.