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Finding the Fourth Proportional to 113.78, 171.46 and 102.95

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Solution

The fourth proportional to 113.78, 171.46 and 102.95 is: 155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.78 : 171.46 = 102.95 : x
  2. Step 2: Convert to fraction form
    113.78/171.46 = 102.95/x
  3. Step 3: Cross multiply
    113.78x = 171.46 × 102.95
  4. Step 4: Simplify right side
    113.78x = 17,651.81
  5. Step 5: Solve for x
    x = 17,651.81/113.78
  6. Step 6: Final answer
    x = 155.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.