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Finding the Fourth Proportional to 478.23, 659.97 and 338.59

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Solution

The fourth proportional to 478.23, 659.97 and 338.59 is: 467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.23 : 659.97 = 338.59 : x
  2. Step 2: Convert to fraction form
    478.23/659.97 = 338.59/x
  3. Step 3: Cross multiply
    478.23x = 659.97 × 338.59
  4. Step 4: Simplify right side
    478.23x = 223,456.32
  5. Step 5: Solve for x
    x = 223,456.32/478.23
  6. Step 6: Final answer
    x = 467.26

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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.