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Finding the Fourth Proportional to 309.96, 425.16 and 271.08

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Solution

The fourth proportional to 309.96, 425.16 and 271.08 is: 371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 425.16 = 271.08 : x
  2. Step 2: Convert to fraction form
    309.96/425.16 = 271.08/x
  3. Step 3: Cross multiply
    309.96x = 425.16 × 271.08
  4. Step 4: Simplify right side
    309.96x = 115,252.37
  5. Step 5: Solve for x
    x = 115,252.37/309.96
  6. Step 6: Final answer
    x = 371.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.