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Finding the Fourth Proportional to 162.91, 224.67 and 113.70

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Solution

The fourth proportional to 162.91, 224.67 and 113.70 is: 156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.91 : 224.67 = 113.70 : x
  2. Step 2: Convert to fraction form
    162.91/224.67 = 113.70/x
  3. Step 3: Cross multiply
    162.91x = 224.67 × 113.70
  4. Step 4: Simplify right side
    162.91x = 25,546.25
  5. Step 5: Solve for x
    x = 25,546.25/162.91
  6. Step 6: Final answer
    x = 156.81

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