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Finding the Fourth Proportional to 338.64, 467.20 and 240.36

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Solution

The fourth proportional to 338.64, 467.20 and 240.36 is: 331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 467.20 = 240.36 : x
  2. Step 2: Convert to fraction form
    338.64/467.20 = 240.36/x
  3. Step 3: Cross multiply
    338.64x = 467.20 × 240.36
  4. Step 4: Simplify right side
    338.64x = 112,296.19
  5. Step 5: Solve for x
    x = 112,296.19/338.64
  6. Step 6: Final answer
    x = 331.61

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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.