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Finding the Fourth Proportional to 155.14, 231.76 and 124.78

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Solution

The fourth proportional to 155.14, 231.76 and 124.78 is: 186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.14 : 231.76 = 124.78 : x
  2. Step 2: Convert to fraction form
    155.14/231.76 = 124.78/x
  3. Step 3: Cross multiply
    155.14x = 231.76 × 124.78
  4. Step 4: Simplify right side
    155.14x = 28,919.01
  5. Step 5: Solve for x
    x = 28,919.01/155.14
  6. Step 6: Final answer
    x = 186.41

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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.