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Finding the Fourth Proportional to 154.63, 230.97 and 113.13

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Solution

The fourth proportional to 154.63, 230.97 and 113.13 is: 168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.63 : 230.97 = 113.13 : x
  2. Step 2: Convert to fraction form
    154.63/230.97 = 113.13/x
  3. Step 3: Cross multiply
    154.63x = 230.97 × 113.13
  4. Step 4: Simplify right side
    154.63x = 26,127.92
  5. Step 5: Solve for x
    x = 26,127.92/154.63
  6. Step 6: Final answer
    x = 168.98

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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.