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Finding the Fourth Proportional to 130.12, 194.34 and 117.91

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Solution

The fourth proportional to 130.12, 194.34 and 117.91 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.12 : 194.34 = 117.91 : x
  2. Step 2: Convert to fraction form
    130.12/194.34 = 117.91/x
  3. Step 3: Cross multiply
    130.12x = 194.34 × 117.91
  4. Step 4: Simplify right side
    130.12x = 22,914.09
  5. Step 5: Solve for x
    x = 22,914.09/130.12
  6. Step 6: Final answer
    x = 176.10

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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.