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Finding the Fourth Proportional to 437.52, 604.10 and 306.71

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Solution

The fourth proportional to 437.52, 604.10 and 306.71 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.52 : 604.10 = 306.71 : x
  2. Step 2: Convert to fraction form
    437.52/604.10 = 306.71/x
  3. Step 3: Cross multiply
    437.52x = 604.10 × 306.71
  4. Step 4: Simplify right side
    437.52x = 185,278.96
  5. Step 5: Solve for x
    x = 185,278.96/437.52
  6. Step 6: Final answer
    x = 423.48

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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.