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Finding the Fourth Proportional to 112.23, 155.70 and 106.29

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Solution

The fourth proportional to 112.23, 155.70 and 106.29 is: 147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.23 : 155.70 = 106.29 : x
  2. Step 2: Convert to fraction form
    112.23/155.70 = 106.29/x
  3. Step 3: Cross multiply
    112.23x = 155.70 × 106.29
  4. Step 4: Simplify right side
    112.23x = 16,549.35
  5. Step 5: Solve for x
    x = 16,549.35/112.23
  6. Step 6: Final answer
    x = 147.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.