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Finding the Fourth Proportional to 63.81, 96.26 and 57.13

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Solution

The fourth proportional to 63.81, 96.26 and 57.13 is: 86.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.81 : 96.26 = 57.13 : x
  2. Step 2: Convert to fraction form
    63.81/96.26 = 57.13/x
  3. Step 3: Cross multiply
    63.81x = 96.26 × 57.13
  4. Step 4: Simplify right side
    63.81x = 5,499.33
  5. Step 5: Solve for x
    x = 5,499.33/63.81
  6. Step 6: Final answer
    x = 86.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.