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Finding the Fourth Proportional to 155.97, 215.25 and 103.53

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Solution

The fourth proportional to 155.97, 215.25 and 103.53 is: 142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.97 : 215.25 = 103.53 : x
  2. Step 2: Convert to fraction form
    155.97/215.25 = 103.53/x
  3. Step 3: Cross multiply
    155.97x = 215.25 × 103.53
  4. Step 4: Simplify right side
    155.97x = 22,284.83
  5. Step 5: Solve for x
    x = 22,284.83/155.97
  6. Step 6: Final answer
    x = 142.88

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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.