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Finding the Fourth Proportional to 113.60, 171.20 and 106.40

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Solution

The fourth proportional to 113.60, 171.20 and 106.40 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.60 : 171.20 = 106.40 : x
  2. Step 2: Convert to fraction form
    113.60/171.20 = 106.40/x
  3. Step 3: Cross multiply
    113.60x = 171.20 × 106.40
  4. Step 4: Simplify right side
    113.60x = 18,215.68
  5. Step 5: Solve for x
    x = 18,215.68/113.60
  6. Step 6: Final answer
    x = 160.35

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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.