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Finding the Fourth Proportional to 154.17, 230.19 and 138.82

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Solution

The fourth proportional to 154.17, 230.19 and 138.82 is: 207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.17 : 230.19 = 138.82 : x
  2. Step 2: Convert to fraction form
    154.17/230.19 = 138.82/x
  3. Step 3: Cross multiply
    154.17x = 230.19 × 138.82
  4. Step 4: Simplify right side
    154.17x = 31,954.98
  5. Step 5: Solve for x
    x = 31,954.98/154.17
  6. Step 6: Final answer
    x = 207.27

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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.