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Finding the Fourth Proportional to 92.64, 128.74 and 91.49

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Solution

The fourth proportional to 92.64, 128.74 and 91.49 is: 127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.64 : 128.74 = 91.49 : x
  2. Step 2: Convert to fraction form
    92.64/128.74 = 91.49/x
  3. Step 3: Cross multiply
    92.64x = 128.74 × 91.49
  4. Step 4: Simplify right side
    92.64x = 11,778.42
  5. Step 5: Solve for x
    x = 11,778.42/92.64
  6. Step 6: Final answer
    x = 127.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.