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Finding the Fourth Proportional to 178.81, 247.66 and 167.06

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Solution

The fourth proportional to 178.81, 247.66 and 167.06 is: 231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.81 : 247.66 = 167.06 : x
  2. Step 2: Convert to fraction form
    178.81/247.66 = 167.06/x
  3. Step 3: Cross multiply
    178.81x = 247.66 × 167.06
  4. Step 4: Simplify right side
    178.81x = 41,374.28
  5. Step 5: Solve for x
    x = 41,374.28/178.81
  6. Step 6: Final answer
    x = 231.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.