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Finding the Fourth Proportional to 237.47, 327.71 and 132.57

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Solution

The fourth proportional to 237.47, 327.71 and 132.57 is: 182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.47 : 327.71 = 132.57 : x
  2. Step 2: Convert to fraction form
    237.47/327.71 = 132.57/x
  3. Step 3: Cross multiply
    237.47x = 327.71 × 132.57
  4. Step 4: Simplify right side
    237.47x = 43,444.51
  5. Step 5: Solve for x
    x = 43,444.51/237.47
  6. Step 6: Final answer
    x = 182.95

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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.