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Finding the Fourth Proportional to 252.86, 348.72 and 159.50

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Solution

The fourth proportional to 252.86, 348.72 and 159.50 is: 219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.86 : 348.72 = 159.50 : x
  2. Step 2: Convert to fraction form
    252.86/348.72 = 159.50/x
  3. Step 3: Cross multiply
    252.86x = 348.72 × 159.50
  4. Step 4: Simplify right side
    252.86x = 55,619.10
  5. Step 5: Solve for x
    x = 55,619.10/252.86
  6. Step 6: Final answer
    x = 219.96

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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.