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Finding the Fourth Proportional to 280.97, 387.71 and 156.60

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Solution

The fourth proportional to 280.97, 387.71 and 156.60 is: 216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 387.71 = 156.60 : x
  2. Step 2: Convert to fraction form
    280.97/387.71 = 156.60/x
  3. Step 3: Cross multiply
    280.97x = 387.71 × 156.60
  4. Step 4: Simplify right side
    280.97x = 60,715.39
  5. Step 5: Solve for x
    x = 60,715.39/280.97
  6. Step 6: Final answer
    x = 216.09

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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.