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Finding the Fourth Proportional to 243.52, 362.64 and 237.86

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Solution

The fourth proportional to 243.52, 362.64 and 237.86 is: 354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.52 : 362.64 = 237.86 : x
  2. Step 2: Convert to fraction form
    243.52/362.64 = 237.86/x
  3. Step 3: Cross multiply
    243.52x = 362.64 × 237.86
  4. Step 4: Simplify right side
    243.52x = 86,257.55
  5. Step 5: Solve for x
    x = 86,257.55/243.52
  6. Step 6: Final answer
    x = 354.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.