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Finding the Fourth Proportional to 88.32, 122.04 and 84.09

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Solution

The fourth proportional to 88.32, 122.04 and 84.09 is: 116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.32 : 122.04 = 84.09 : x
  2. Step 2: Convert to fraction form
    88.32/122.04 = 84.09/x
  3. Step 3: Cross multiply
    88.32x = 122.04 × 84.09
  4. Step 4: Simplify right side
    88.32x = 10,262.34
  5. Step 5: Solve for x
    x = 10,262.34/88.32
  6. Step 6: Final answer
    x = 116.20

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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.