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Finding the Fourth Proportional to 119.43, 178.43 and 117.27

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Solution

The fourth proportional to 119.43, 178.43 and 117.27 is: 175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.43 : 178.43 = 117.27 : x
  2. Step 2: Convert to fraction form
    119.43/178.43 = 117.27/x
  3. Step 3: Cross multiply
    119.43x = 178.43 × 117.27
  4. Step 4: Simplify right side
    119.43x = 20,924.49
  5. Step 5: Solve for x
    x = 20,924.49/119.43
  6. Step 6: Final answer
    x = 175.20

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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.