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Finding the Fourth Proportional to 105.59, 157.20 and 104.42

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Solution

The fourth proportional to 105.59, 157.20 and 104.42 is: 155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.59 : 157.20 = 104.42 : x
  2. Step 2: Convert to fraction form
    105.59/157.20 = 104.42/x
  3. Step 3: Cross multiply
    105.59x = 157.20 × 104.42
  4. Step 4: Simplify right side
    105.59x = 16,414.83
  5. Step 5: Solve for x
    x = 16,414.83/105.59
  6. Step 6: Final answer
    x = 155.45

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Why These Related Problems?

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