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Finding the Fourth Proportional to 338.29, 466.60 and 258.71

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Solution

The fourth proportional to 338.29, 466.60 and 258.71 is: 356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.29 : 466.60 = 258.71 : x
  2. Step 2: Convert to fraction form
    338.29/466.60 = 258.71/x
  3. Step 3: Cross multiply
    338.29x = 466.60 × 258.71
  4. Step 4: Simplify right side
    338.29x = 120,714.90
  5. Step 5: Solve for x
    x = 120,714.90/338.29
  6. Step 6: Final answer
    x = 356.84

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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.