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Finding the Fourth Proportional to 252.72, 348.71 and 153.19

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Solution

The fourth proportional to 252.72, 348.71 and 153.19 is: 211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.72 : 348.71 = 153.19 : x
  2. Step 2: Convert to fraction form
    252.72/348.71 = 153.19/x
  3. Step 3: Cross multiply
    252.72x = 348.71 × 153.19
  4. Step 4: Simplify right side
    252.72x = 53,418.55
  5. Step 5: Solve for x
    x = 53,418.55/252.72
  6. Step 6: Final answer
    x = 211.37

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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.