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Finding the Fourth Proportional to 338.80, 469.95 and 314.48

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Solution

The fourth proportional to 338.80, 469.95 and 314.48 is: 436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.80 : 469.95 = 314.48 : x
  2. Step 2: Convert to fraction form
    338.80/469.95 = 314.48/x
  3. Step 3: Cross multiply
    338.80x = 469.95 × 314.48
  4. Step 4: Simplify right side
    338.80x = 147,789.88
  5. Step 5: Solve for x
    x = 147,789.88/338.80
  6. Step 6: Final answer
    x = 436.22

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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.