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Finding the Fourth Proportional to 280.61, 387.24 and 154.57

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Solution

The fourth proportional to 280.61, 387.24 and 154.57 is: 213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.61 : 387.24 = 154.57 : x
  2. Step 2: Convert to fraction form
    280.61/387.24 = 154.57/x
  3. Step 3: Cross multiply
    280.61x = 387.24 × 154.57
  4. Step 4: Simplify right side
    280.61x = 59,854.72
  5. Step 5: Solve for x
    x = 59,854.72/280.61
  6. Step 6: Final answer
    x = 213.31

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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.