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Finding the Fourth Proportional to 103.42, 155.83 and 85.78

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Solution

The fourth proportional to 103.42, 155.83 and 85.78 is: 129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.42 : 155.83 = 85.78 : x
  2. Step 2: Convert to fraction form
    103.42/155.83 = 85.78/x
  3. Step 3: Cross multiply
    103.42x = 155.83 × 85.78
  4. Step 4: Simplify right side
    103.42x = 13,367.10
  5. Step 5: Solve for x
    x = 13,367.10/103.42
  6. Step 6: Final answer
    x = 129.25

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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.