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Finding the Fourth Proportional to 167.45, 251.07 and 78.39

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Solution

The fourth proportional to 167.45, 251.07 and 78.39 is: 117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.45 : 251.07 = 78.39 : x
  2. Step 2: Convert to fraction form
    167.45/251.07 = 78.39/x
  3. Step 3: Cross multiply
    167.45x = 251.07 × 78.39
  4. Step 4: Simplify right side
    167.45x = 19,681.38
  5. Step 5: Solve for x
    x = 19,681.38/167.45
  6. Step 6: Final answer
    x = 117.54

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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.