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Finding the Fourth Proportional to 155.97, 214.82 and 123.17

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Solution

The fourth proportional to 155.97, 214.82 and 123.17 is: 169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.97 : 214.82 = 123.17 : x
  2. Step 2: Convert to fraction form
    155.97/214.82 = 123.17/x
  3. Step 3: Cross multiply
    155.97x = 214.82 × 123.17
  4. Step 4: Simplify right side
    155.97x = 26,459.38
  5. Step 5: Solve for x
    x = 26,459.38/155.97
  6. Step 6: Final answer
    x = 169.64

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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.