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Finding the Fourth Proportional to 92.09, 126.88 and 64.42

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Solution

The fourth proportional to 92.09, 126.88 and 64.42 is: 88.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.09 : 126.88 = 64.42 : x
  2. Step 2: Convert to fraction form
    92.09/126.88 = 64.42/x
  3. Step 3: Cross multiply
    92.09x = 126.88 × 64.42
  4. Step 4: Simplify right side
    92.09x = 8,173.13
  5. Step 5: Solve for x
    x = 8,173.13/92.09
  6. Step 6: Final answer
    x = 88.75

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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.