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Finding the Fourth Proportional to 438.46, 660.19 and 387.42

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Solution

The fourth proportional to 438.46, 660.19 and 387.42 is: 583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.46 : 660.19 = 387.42 : x
  2. Step 2: Convert to fraction form
    438.46/660.19 = 387.42/x
  3. Step 3: Cross multiply
    438.46x = 660.19 × 387.42
  4. Step 4: Simplify right side
    438.46x = 255,770.81
  5. Step 5: Solve for x
    x = 255,770.81/438.46
  6. Step 6: Final answer
    x = 583.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.