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Finding the Fourth Proportional to 154.57, 213.49 and 113.06

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Solution

The fourth proportional to 154.57, 213.49 and 113.06 is: 156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.57 : 213.49 = 113.06 : x
  2. Step 2: Convert to fraction form
    154.57/213.49 = 113.06/x
  3. Step 3: Cross multiply
    154.57x = 213.49 × 113.06
  4. Step 4: Simplify right side
    154.57x = 24,135.83
  5. Step 5: Solve for x
    x = 24,135.83/154.57
  6. Step 6: Final answer
    x = 156.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.