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Finding the Fourth Proportional to 130.24, 194.39 and 118.18

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Solution

The fourth proportional to 130.24, 194.39 and 118.18 is: 176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.24 : 194.39 = 118.18 : x
  2. Step 2: Convert to fraction form
    130.24/194.39 = 118.18/x
  3. Step 3: Cross multiply
    130.24x = 194.39 × 118.18
  4. Step 4: Simplify right side
    130.24x = 22,973.01
  5. Step 5: Solve for x
    x = 22,973.01/130.24
  6. Step 6: Final answer
    x = 176.39

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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.