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Finding the Fourth Proportional to 154.45, 232.17 and 143.16

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Solution

The fourth proportional to 154.45, 232.17 and 143.16 is: 215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.45 : 232.17 = 143.16 : x
  2. Step 2: Convert to fraction form
    154.45/232.17 = 143.16/x
  3. Step 3: Cross multiply
    154.45x = 232.17 × 143.16
  4. Step 4: Simplify right side
    154.45x = 33,237.46
  5. Step 5: Solve for x
    x = 33,237.46/154.45
  6. Step 6: Final answer
    x = 215.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.