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Finding the Fourth Proportional to 309.76, 426.84 and 247.60

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Solution

The fourth proportional to 309.76, 426.84 and 247.60 is: 341.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 426.84 = 247.60 : x
  2. Step 2: Convert to fraction form
    309.76/426.84 = 247.60/x
  3. Step 3: Cross multiply
    309.76x = 426.84 × 247.60
  4. Step 4: Simplify right side
    309.76x = 105,685.58
  5. Step 5: Solve for x
    x = 105,685.58/309.76
  6. Step 6: Final answer
    x = 341.19

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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.