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Finding the Fourth Proportional to 148.77, 205.44 and 123.91

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Solution

The fourth proportional to 148.77, 205.44 and 123.91 is: 171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.77 : 205.44 = 123.91 : x
  2. Step 2: Convert to fraction form
    148.77/205.44 = 123.91/x
  3. Step 3: Cross multiply
    148.77x = 205.44 × 123.91
  4. Step 4: Simplify right side
    148.77x = 25,456.25
  5. Step 5: Solve for x
    x = 25,456.25/148.77
  6. Step 6: Final answer
    x = 171.11

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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.