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Finding the Fourth Proportional to 154.25, 232.43 and 137.68

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Solution

The fourth proportional to 154.25, 232.43 and 137.68 is: 207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.25 : 232.43 = 137.68 : x
  2. Step 2: Convert to fraction form
    154.25/232.43 = 137.68/x
  3. Step 3: Cross multiply
    154.25x = 232.43 × 137.68
  4. Step 4: Simplify right side
    154.25x = 32,000.96
  5. Step 5: Solve for x
    x = 32,000.96/154.25
  6. Step 6: Final answer
    x = 207.46

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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.