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Finding the Fourth Proportional to 385.84, 532.27 and 280.77

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Solution

The fourth proportional to 385.84, 532.27 and 280.77 is: 387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.84 : 532.27 = 280.77 : x
  2. Step 2: Convert to fraction form
    385.84/532.27 = 280.77/x
  3. Step 3: Cross multiply
    385.84x = 532.27 × 280.77
  4. Step 4: Simplify right side
    385.84x = 149,442.79
  5. Step 5: Solve for x
    x = 149,442.79/385.84
  6. Step 6: Final answer
    x = 387.32

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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.