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Finding the Fourth Proportional to 82.64, 114.03 and 45.79

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Solution

The fourth proportional to 82.64, 114.03 and 45.79 is: 63.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.64 : 114.03 = 45.79 : x
  2. Step 2: Convert to fraction form
    82.64/114.03 = 45.79/x
  3. Step 3: Cross multiply
    82.64x = 114.03 × 45.79
  4. Step 4: Simplify right side
    82.64x = 5,221.60
  5. Step 5: Solve for x
    x = 5,221.60/82.64
  6. Step 6: Final answer
    x = 63.19

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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.