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Finding the Fourth Proportional to 280.62, 387.32 and 215.02

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Solution

The fourth proportional to 280.62, 387.32 and 215.02 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.62 : 387.32 = 215.02 : x
  2. Step 2: Convert to fraction form
    280.62/387.32 = 215.02/x
  3. Step 3: Cross multiply
    280.62x = 387.32 × 215.02
  4. Step 4: Simplify right side
    280.62x = 83,281.55
  5. Step 5: Solve for x
    x = 83,281.55/280.62
  6. Step 6: Final answer
    x = 296.78

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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.