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Finding the Fourth Proportional to 338.20, 465.78 and 260.44

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Solution

The fourth proportional to 338.20, 465.78 and 260.44 is: 358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.20 : 465.78 = 260.44 : x
  2. Step 2: Convert to fraction form
    338.20/465.78 = 260.44/x
  3. Step 3: Cross multiply
    338.20x = 465.78 × 260.44
  4. Step 4: Simplify right side
    338.20x = 121,307.74
  5. Step 5: Solve for x
    x = 121,307.74/338.20
  6. Step 6: Final answer
    x = 358.69

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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.