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Finding the Fourth Proportional to 162.80, 224.65 and 89.11

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Solution

The fourth proportional to 162.80, 224.65 and 89.11 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.80 : 224.65 = 89.11 : x
  2. Step 2: Convert to fraction form
    162.80/224.65 = 89.11/x
  3. Step 3: Cross multiply
    162.80x = 224.65 × 89.11
  4. Step 4: Simplify right side
    162.80x = 20,016.99
  5. Step 5: Solve for x
    x = 20,016.99/162.80
  6. Step 6: Final answer
    x = 122.96

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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.