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Finding the Fourth Proportional to 342.09, 471.61 and 286.74

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Solution

The fourth proportional to 342.09, 471.61 and 286.74 is: 395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.09 : 471.61 = 286.74 : x
  2. Step 2: Convert to fraction form
    342.09/471.61 = 286.74/x
  3. Step 3: Cross multiply
    342.09x = 471.61 × 286.74
  4. Step 4: Simplify right side
    342.09x = 135,229.45
  5. Step 5: Solve for x
    x = 135,229.45/342.09
  6. Step 6: Final answer
    x = 395.30

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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.