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Finding the Fourth Proportional to 237.52, 327.61 and 200.87

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Solution

The fourth proportional to 237.52, 327.61 and 200.87 is: 277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.52 : 327.61 = 200.87 : x
  2. Step 2: Convert to fraction form
    237.52/327.61 = 200.87/x
  3. Step 3: Cross multiply
    237.52x = 327.61 × 200.87
  4. Step 4: Simplify right side
    237.52x = 65,807.02
  5. Step 5: Solve for x
    x = 65,807.02/237.52
  6. Step 6: Final answer
    x = 277.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.