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Finding the Fourth Proportional to 82.25, 123.43 and 34.16

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Solution

The fourth proportional to 82.25, 123.43 and 34.16 is: 51.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.25 : 123.43 = 34.16 : x
  2. Step 2: Convert to fraction form
    82.25/123.43 = 34.16/x
  3. Step 3: Cross multiply
    82.25x = 123.43 × 34.16
  4. Step 4: Simplify right side
    82.25x = 4,216.13
  5. Step 5: Solve for x
    x = 4,216.13/82.25
  6. Step 6: Final answer
    x = 51.26

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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.