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Finding the Fourth Proportional to 252.16, 348.05 and 157.68

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Solution

The fourth proportional to 252.16, 348.05 and 157.68 is: 217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.16 : 348.05 = 157.68 : x
  2. Step 2: Convert to fraction form
    252.16/348.05 = 157.68/x
  3. Step 3: Cross multiply
    252.16x = 348.05 × 157.68
  4. Step 4: Simplify right side
    252.16x = 54,880.92
  5. Step 5: Solve for x
    x = 54,880.92/252.16
  6. Step 6: Final answer
    x = 217.65

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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.