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Finding the Fourth Proportional to 64.26, 95.82 and 57.08

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Solution

The fourth proportional to 64.26, 95.82 and 57.08 is: 85.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.26 : 95.82 = 57.08 : x
  2. Step 2: Convert to fraction form
    64.26/95.82 = 57.08/x
  3. Step 3: Cross multiply
    64.26x = 95.82 × 57.08
  4. Step 4: Simplify right side
    64.26x = 5,469.41
  5. Step 5: Solve for x
    x = 5,469.41/64.26
  6. Step 6: Final answer
    x = 85.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.