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Finding the Fourth Proportional to 88.33, 122.18 and 82.42

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Solution

The fourth proportional to 88.33, 122.18 and 82.42 is: 114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.33 : 122.18 = 82.42 : x
  2. Step 2: Convert to fraction form
    88.33/122.18 = 82.42/x
  3. Step 3: Cross multiply
    88.33x = 122.18 × 82.42
  4. Step 4: Simplify right side
    88.33x = 10,070.08
  5. Step 5: Solve for x
    x = 10,070.08/88.33
  6. Step 6: Final answer
    x = 114.01

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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.