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Finding the Fourth Proportional to 339.80, 471.34 and 315.48

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Solution

The fourth proportional to 339.80, 471.34 and 315.48 is: 437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 471.34 = 315.48 : x
  2. Step 2: Convert to fraction form
    339.80/471.34 = 315.48/x
  3. Step 3: Cross multiply
    339.80x = 471.34 × 315.48
  4. Step 4: Simplify right side
    339.80x = 148,698.34
  5. Step 5: Solve for x
    x = 148,698.34/339.80
  6. Step 6: Final answer
    x = 437.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.