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Finding the Fourth Proportional to 178.70, 246.12 and 164.93

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Solution

The fourth proportional to 178.70, 246.12 and 164.93 is: 227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.70 : 246.12 = 164.93 : x
  2. Step 2: Convert to fraction form
    178.70/246.12 = 164.93/x
  3. Step 3: Cross multiply
    178.70x = 246.12 × 164.93
  4. Step 4: Simplify right side
    178.70x = 40,592.57
  5. Step 5: Solve for x
    x = 40,592.57/178.70
  6. Step 6: Final answer
    x = 227.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.