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Finding the Fourth Proportional to 269.08, 370.38 and 247.84

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Solution

The fourth proportional to 269.08, 370.38 and 247.84 is: 341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.08 : 370.38 = 247.84 : x
  2. Step 2: Convert to fraction form
    269.08/370.38 = 247.84/x
  3. Step 3: Cross multiply
    269.08x = 370.38 × 247.84
  4. Step 4: Simplify right side
    269.08x = 91,794.98
  5. Step 5: Solve for x
    x = 91,794.98/269.08
  6. Step 6: Final answer
    x = 341.14

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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.