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Finding the Fourth Proportional to 119.10, 179.66 and 117.42

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Solution

The fourth proportional to 119.10, 179.66 and 117.42 is: 177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.10 : 179.66 = 117.42 : x
  2. Step 2: Convert to fraction form
    119.10/179.66 = 117.42/x
  3. Step 3: Cross multiply
    119.10x = 179.66 × 117.42
  4. Step 4: Simplify right side
    119.10x = 21,095.09
  5. Step 5: Solve for x
    x = 21,095.09/119.10
  6. Step 6: Final answer
    x = 177.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.