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Finding the Fourth Proportional to 167.40, 229.32 and 152.82

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Solution

The fourth proportional to 167.40, 229.32 and 152.82 is: 209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.40 : 229.32 = 152.82 : x
  2. Step 2: Convert to fraction form
    167.40/229.32 = 152.82/x
  3. Step 3: Cross multiply
    167.40x = 229.32 × 152.82
  4. Step 4: Simplify right side
    167.40x = 35,044.68
  5. Step 5: Solve for x
    x = 35,044.68/167.40
  6. Step 6: Final answer
    x = 209.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.