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Finding the Fourth Proportional to 252.65, 348.07 and 211.14

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Solution

The fourth proportional to 252.65, 348.07 and 211.14 is: 290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.65 : 348.07 = 211.14 : x
  2. Step 2: Convert to fraction form
    252.65/348.07 = 211.14/x
  3. Step 3: Cross multiply
    252.65x = 348.07 × 211.14
  4. Step 4: Simplify right side
    252.65x = 73,491.50
  5. Step 5: Solve for x
    x = 73,491.50/252.65
  6. Step 6: Final answer
    x = 290.88

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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.