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Finding the Fourth Proportional to 144.56, 215.56 and 123.92

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Solution

The fourth proportional to 144.56, 215.56 and 123.92 is: 184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.56 : 215.56 = 123.92 : x
  2. Step 2: Convert to fraction form
    144.56/215.56 = 123.92/x
  3. Step 3: Cross multiply
    144.56x = 215.56 × 123.92
  4. Step 4: Simplify right side
    144.56x = 26,712.20
  5. Step 5: Solve for x
    x = 26,712.20/144.56
  6. Step 6: Final answer
    x = 184.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.