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Finding the Fourth Proportional to 119.74, 180.02 and 117.31

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Solution

The fourth proportional to 119.74, 180.02 and 117.31 is: 176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.74 : 180.02 = 117.31 : x
  2. Step 2: Convert to fraction form
    119.74/180.02 = 117.31/x
  3. Step 3: Cross multiply
    119.74x = 180.02 × 117.31
  4. Step 4: Simplify right side
    119.74x = 21,118.15
  5. Step 5: Solve for x
    x = 21,118.15/119.74
  6. Step 6: Final answer
    x = 176.37

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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.