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Finding the Fourth Proportional to 82.28, 113.54 and 45.43

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Solution

The fourth proportional to 82.28, 113.54 and 45.43 is: 62.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.28 : 113.54 = 45.43 : x
  2. Step 2: Convert to fraction form
    82.28/113.54 = 45.43/x
  3. Step 3: Cross multiply
    82.28x = 113.54 × 45.43
  4. Step 4: Simplify right side
    82.28x = 5,158.51
  5. Step 5: Solve for x
    x = 5,158.51/82.28
  6. Step 6: Final answer
    x = 62.69

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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.