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Finding the Fourth Proportional to 82.40, 123.29 and 64.18

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Solution

The fourth proportional to 82.40, 123.29 and 64.18 is: 96.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.40 : 123.29 = 64.18 : x
  2. Step 2: Convert to fraction form
    82.40/123.29 = 64.18/x
  3. Step 3: Cross multiply
    82.40x = 123.29 × 64.18
  4. Step 4: Simplify right side
    82.40x = 7,912.75
  5. Step 5: Solve for x
    x = 7,912.75/82.40
  6. Step 6: Final answer
    x = 96.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.