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Finding the Fourth Proportional to 102.78, 153.42 and 92.52

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Solution

The fourth proportional to 102.78, 153.42 and 92.52 is: 138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.78 : 153.42 = 92.52 : x
  2. Step 2: Convert to fraction form
    102.78/153.42 = 92.52/x
  3. Step 3: Cross multiply
    102.78x = 153.42 × 92.52
  4. Step 4: Simplify right side
    102.78x = 14,194.42
  5. Step 5: Solve for x
    x = 14,194.42/102.78
  6. Step 6: Final answer
    x = 138.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.