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Finding the Fourth Proportional to 123.46, 186.29 and 118.47

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Solution

The fourth proportional to 123.46, 186.29 and 118.47 is: 178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.46 : 186.29 = 118.47 : x
  2. Step 2: Convert to fraction form
    123.46/186.29 = 118.47/x
  3. Step 3: Cross multiply
    123.46x = 186.29 × 118.47
  4. Step 4: Simplify right side
    123.46x = 22,069.78
  5. Step 5: Solve for x
    x = 22,069.78/123.46
  6. Step 6: Final answer
    x = 178.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.