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Finding the Fourth Proportional to 353.19, 487.71 and 271.11

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Solution

The fourth proportional to 353.19, 487.71 and 271.11 is: 374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.19 : 487.71 = 271.11 : x
  2. Step 2: Convert to fraction form
    353.19/487.71 = 271.11/x
  3. Step 3: Cross multiply
    353.19x = 487.71 × 271.11
  4. Step 4: Simplify right side
    353.19x = 132,223.06
  5. Step 5: Solve for x
    x = 132,223.06/353.19
  6. Step 6: Final answer
    x = 374.37

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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.