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Finding the Fourth Proportional to 89.60, 124.31 and 82.40

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Solution

The fourth proportional to 89.60, 124.31 and 82.40 is: 114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.60 : 124.31 = 82.40 : x
  2. Step 2: Convert to fraction form
    89.60/124.31 = 82.40/x
  3. Step 3: Cross multiply
    89.60x = 124.31 × 82.40
  4. Step 4: Simplify right side
    89.60x = 10,243.14
  5. Step 5: Solve for x
    x = 10,243.14/89.60
  6. Step 6: Final answer
    x = 114.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.