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Finding the Fourth Proportional to 113.56, 157.75 and 112.24

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Solution

The fourth proportional to 113.56, 157.75 and 112.24 is: 155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.56 : 157.75 = 112.24 : x
  2. Step 2: Convert to fraction form
    113.56/157.75 = 112.24/x
  3. Step 3: Cross multiply
    113.56x = 157.75 × 112.24
  4. Step 4: Simplify right side
    113.56x = 17,705.86
  5. Step 5: Solve for x
    x = 17,705.86/113.56
  6. Step 6: Final answer
    x = 155.92

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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.