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Finding the Fourth Proportional to 154.64, 231.01 and 124.28

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Solution

The fourth proportional to 154.64, 231.01 and 124.28 is: 185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 231.01 = 124.28 : x
  2. Step 2: Convert to fraction form
    154.64/231.01 = 124.28/x
  3. Step 3: Cross multiply
    154.64x = 231.01 × 124.28
  4. Step 4: Simplify right side
    154.64x = 28,709.92
  5. Step 5: Solve for x
    x = 28,709.92/154.64
  6. Step 6: Final answer
    x = 185.66

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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.