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Finding the Fourth Proportional to 82.16, 123.48 and 39.44

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Solution

The fourth proportional to 82.16, 123.48 and 39.44 is: 59.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 123.48 = 39.44 : x
  2. Step 2: Convert to fraction form
    82.16/123.48 = 39.44/x
  3. Step 3: Cross multiply
    82.16x = 123.48 × 39.44
  4. Step 4: Simplify right side
    82.16x = 4,870.05
  5. Step 5: Solve for x
    x = 4,870.05/82.16
  6. Step 6: Final answer
    x = 59.28

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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.