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Finding the Fourth Proportional to 154.50, 232.84 and 145.68

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Solution

The fourth proportional to 154.50, 232.84 and 145.68 is: 219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.50 : 232.84 = 145.68 : x
  2. Step 2: Convert to fraction form
    154.50/232.84 = 145.68/x
  3. Step 3: Cross multiply
    154.50x = 232.84 × 145.68
  4. Step 4: Simplify right side
    154.50x = 33,920.13
  5. Step 5: Solve for x
    x = 33,920.13/154.50
  6. Step 6: Final answer
    x = 219.55

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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.