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Finding the Fourth Proportional to 385.08, 531.42 and 237.78

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Solution

The fourth proportional to 385.08, 531.42 and 237.78 is: 328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.08 : 531.42 = 237.78 : x
  2. Step 2: Convert to fraction form
    385.08/531.42 = 237.78/x
  3. Step 3: Cross multiply
    385.08x = 531.42 × 237.78
  4. Step 4: Simplify right side
    385.08x = 126,361.05
  5. Step 5: Solve for x
    x = 126,361.05/385.08
  6. Step 6: Final answer
    x = 328.14

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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.