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Finding the Fourth Proportional to 167.91, 253.01 and 138.14

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Solution

The fourth proportional to 167.91, 253.01 and 138.14 is: 208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.91 : 253.01 = 138.14 : x
  2. Step 2: Convert to fraction form
    167.91/253.01 = 138.14/x
  3. Step 3: Cross multiply
    167.91x = 253.01 × 138.14
  4. Step 4: Simplify right side
    167.91x = 34,950.80
  5. Step 5: Solve for x
    x = 34,950.80/167.91
  6. Step 6: Final answer
    x = 208.15

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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.