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Finding the Fourth Proportional to 247.56, 370.78 and 166.17

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Solution

The fourth proportional to 247.56, 370.78 and 166.17 is: 248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.56 : 370.78 = 166.17 : x
  2. Step 2: Convert to fraction form
    247.56/370.78 = 166.17/x
  3. Step 3: Cross multiply
    247.56x = 370.78 × 166.17
  4. Step 4: Simplify right side
    247.56x = 61,612.51
  5. Step 5: Solve for x
    x = 61,612.51/247.56
  6. Step 6: Final answer
    x = 248.88

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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.