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Finding the Fourth Proportional to 237.61, 356.37 and 83.58

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Solution

The fourth proportional to 237.61, 356.37 and 83.58 is: 125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.61 : 356.37 = 83.58 : x
  2. Step 2: Convert to fraction form
    237.61/356.37 = 83.58/x
  3. Step 3: Cross multiply
    237.61x = 356.37 × 83.58
  4. Step 4: Simplify right side
    237.61x = 29,785.76
  5. Step 5: Solve for x
    x = 29,785.76/237.61
  6. Step 6: Final answer
    x = 125.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.