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Finding the Fourth Proportional to 167.18, 247.95 and 164.75

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Solution

The fourth proportional to 167.18, 247.95 and 164.75 is: 244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.18 : 247.95 = 164.75 : x
  2. Step 2: Convert to fraction form
    167.18/247.95 = 164.75/x
  3. Step 3: Cross multiply
    167.18x = 247.95 × 164.75
  4. Step 4: Simplify right side
    167.18x = 40,848.52
  5. Step 5: Solve for x
    x = 40,848.52/167.18
  6. Step 6: Final answer
    x = 244.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.