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Finding the Fourth Proportional to 342.20, 471.60 and 279.82

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Solution

The fourth proportional to 342.20, 471.60 and 279.82 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.20 : 471.60 = 279.82 : x
  2. Step 2: Convert to fraction form
    342.20/471.60 = 279.82/x
  3. Step 3: Cross multiply
    342.20x = 471.60 × 279.82
  4. Step 4: Simplify right side
    342.20x = 131,963.11
  5. Step 5: Solve for x
    x = 131,963.11/342.20
  6. Step 6: Final answer
    x = 385.63

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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.