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Finding the Fourth Proportional to 155.31, 232.59 and 101.22

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Solution

The fourth proportional to 155.31, 232.59 and 101.22 is: 151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.31 : 232.59 = 101.22 : x
  2. Step 2: Convert to fraction form
    155.31/232.59 = 101.22/x
  3. Step 3: Cross multiply
    155.31x = 232.59 × 101.22
  4. Step 4: Simplify right side
    155.31x = 23,542.76
  5. Step 5: Solve for x
    x = 23,542.76/155.31
  6. Step 6: Final answer
    x = 151.59

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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.