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Finding the Fourth Proportional to 113.60, 170.40 and 75.20

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Solution

The fourth proportional to 113.60, 170.40 and 75.20 is: 112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.60 : 170.40 = 75.20 : x
  2. Step 2: Convert to fraction form
    113.60/170.40 = 75.20/x
  3. Step 3: Cross multiply
    113.60x = 170.40 × 75.20
  4. Step 4: Simplify right side
    113.60x = 12,814.08
  5. Step 5: Solve for x
    x = 12,814.08/113.60
  6. Step 6: Final answer
    x = 112.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.