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Finding the Fourth Proportional to 438.10, 604.56 and 280.52

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Solution

The fourth proportional to 438.10, 604.56 and 280.52 is: 387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.10 : 604.56 = 280.52 : x
  2. Step 2: Convert to fraction form
    438.10/604.56 = 280.52/x
  3. Step 3: Cross multiply
    438.10x = 604.56 × 280.52
  4. Step 4: Simplify right side
    438.10x = 169,591.17
  5. Step 5: Solve for x
    x = 169,591.17/438.10
  6. Step 6: Final answer
    x = 387.11

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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.