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Finding the Fourth Proportional to 162.68, 224.49 and 88.98

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Solution

The fourth proportional to 162.68, 224.49 and 88.98 is: 122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.68 : 224.49 = 88.98 : x
  2. Step 2: Convert to fraction form
    162.68/224.49 = 88.98/x
  3. Step 3: Cross multiply
    162.68x = 224.49 × 88.98
  4. Step 4: Simplify right side
    162.68x = 19,974.68
  5. Step 5: Solve for x
    x = 19,974.68/162.68
  6. Step 6: Final answer
    x = 122.79

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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.