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Finding the Fourth Proportional to 179.57, 268.25 and 130.40

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Solution

The fourth proportional to 179.57, 268.25 and 130.40 is: 194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.57 : 268.25 = 130.40 : x
  2. Step 2: Convert to fraction form
    179.57/268.25 = 130.40/x
  3. Step 3: Cross multiply
    179.57x = 268.25 × 130.40
  4. Step 4: Simplify right side
    179.57x = 34,979.80
  5. Step 5: Solve for x
    x = 34,979.80/179.57
  6. Step 6: Final answer
    x = 194.80

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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.