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Finding the Fourth Proportional to 92.78, 128.18 and 85.49

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Solution

The fourth proportional to 92.78, 128.18 and 85.49 is: 118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.78 : 128.18 = 85.49 : x
  2. Step 2: Convert to fraction form
    92.78/128.18 = 85.49/x
  3. Step 3: Cross multiply
    92.78x = 128.18 × 85.49
  4. Step 4: Simplify right side
    92.78x = 10,957.04
  5. Step 5: Solve for x
    x = 10,957.04/92.78
  6. Step 6: Final answer
    x = 118.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.