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Finding the Fourth Proportional to 64.85, 97.22 and 61.65

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Solution

The fourth proportional to 64.85, 97.22 and 61.65 is: 92.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.85 : 97.22 = 61.65 : x
  2. Step 2: Convert to fraction form
    64.85/97.22 = 61.65/x
  3. Step 3: Cross multiply
    64.85x = 97.22 × 61.65
  4. Step 4: Simplify right side
    64.85x = 5,993.77
  5. Step 5: Solve for x
    x = 5,993.77/64.85
  6. Step 6: Final answer
    x = 92.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.