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Finding the Fourth Proportional to 338.89, 466.98 and 260.20

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Solution

The fourth proportional to 338.89, 466.98 and 260.20 is: 358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.89 : 466.98 = 260.20 : x
  2. Step 2: Convert to fraction form
    338.89/466.98 = 260.20/x
  3. Step 3: Cross multiply
    338.89x = 466.98 × 260.20
  4. Step 4: Simplify right side
    338.89x = 121,508.20
  5. Step 5: Solve for x
    x = 121,508.20/338.89
  6. Step 6: Final answer
    x = 358.55

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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.