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Finding the Fourth Proportional to 478.58, 659.97 and 338.81

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Solution

The fourth proportional to 478.58, 659.97 and 338.81 is: 467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.58 : 659.97 = 338.81 : x
  2. Step 2: Convert to fraction form
    478.58/659.97 = 338.81/x
  3. Step 3: Cross multiply
    478.58x = 659.97 × 338.81
  4. Step 4: Simplify right side
    478.58x = 223,601.14
  5. Step 5: Solve for x
    x = 223,601.14/478.58
  6. Step 6: Final answer
    x = 467.22

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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.