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Finding the Fourth Proportional to 92.42, 127.53 and 64.85

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Solution

The fourth proportional to 92.42, 127.53 and 64.85 is: 89.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.42 : 127.53 = 64.85 : x
  2. Step 2: Convert to fraction form
    92.42/127.53 = 64.85/x
  3. Step 3: Cross multiply
    92.42x = 127.53 × 64.85
  4. Step 4: Simplify right side
    92.42x = 8,269.68
  5. Step 5: Solve for x
    x = 8,269.68/92.42
  6. Step 6: Final answer
    x = 89.48

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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.