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Finding the Fourth Proportional to 64.22, 95.90 and 57.50

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Solution

The fourth proportional to 64.22, 95.90 and 57.50 is: 85.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.22 : 95.90 = 57.50 : x
  2. Step 2: Convert to fraction form
    64.22/95.90 = 57.50/x
  3. Step 3: Cross multiply
    64.22x = 95.90 × 57.50
  4. Step 4: Simplify right side
    64.22x = 5,514.25
  5. Step 5: Solve for x
    x = 5,514.25/64.22
  6. Step 6: Final answer
    x = 85.86

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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.