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Finding the Fourth Proportional to 130.12, 194.85 and 117.80

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Solution

The fourth proportional to 130.12, 194.85 and 117.80 is: 176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.12 : 194.85 = 117.80 : x
  2. Step 2: Convert to fraction form
    130.12/194.85 = 117.80/x
  3. Step 3: Cross multiply
    130.12x = 194.85 × 117.80
  4. Step 4: Simplify right side
    130.12x = 22,952.80
  5. Step 5: Solve for x
    x = 22,952.80/130.12
  6. Step 6: Final answer
    x = 176.40

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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.