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Finding the Fourth Proportional to 353.48, 488.04 and 271.01

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Solution

The fourth proportional to 353.48, 488.04 and 271.01 is: 374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.48 : 488.04 = 271.01 : x
  2. Step 2: Convert to fraction form
    353.48/488.04 = 271.01/x
  3. Step 3: Cross multiply
    353.48x = 488.04 × 271.01
  4. Step 4: Simplify right side
    353.48x = 132,264.94
  5. Step 5: Solve for x
    x = 132,264.94/353.48
  6. Step 6: Final answer
    x = 374.18

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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.