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Finding the Fourth Proportional to 438.18, 604.42 and 280.76

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Solution

The fourth proportional to 438.18, 604.42 and 280.76 is: 387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.18 : 604.42 = 280.76 : x
  2. Step 2: Convert to fraction form
    438.18/604.42 = 280.76/x
  3. Step 3: Cross multiply
    438.18x = 604.42 × 280.76
  4. Step 4: Simplify right side
    438.18x = 169,698.21
  5. Step 5: Solve for x
    x = 169,698.21/438.18
  6. Step 6: Final answer
    x = 387.28

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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.