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Finding the Fourth Proportional to 88.65, 122.26 and 84.76

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Solution

The fourth proportional to 88.65, 122.26 and 84.76 is: 116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.65 : 122.26 = 84.76 : x
  2. Step 2: Convert to fraction form
    88.65/122.26 = 84.76/x
  3. Step 3: Cross multiply
    88.65x = 122.26 × 84.76
  4. Step 4: Simplify right side
    88.65x = 10,362.76
  5. Step 5: Solve for x
    x = 10,362.76/88.65
  6. Step 6: Final answer
    x = 116.90

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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.