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Finding the Fourth Proportional to 338.64, 467.20 and 214.17

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Solution

The fourth proportional to 338.64, 467.20 and 214.17 is: 295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 467.20 = 214.17 : x
  2. Step 2: Convert to fraction form
    338.64/467.20 = 214.17/x
  3. Step 3: Cross multiply
    338.64x = 467.20 × 214.17
  4. Step 4: Simplify right side
    338.64x = 100,060.22
  5. Step 5: Solve for x
    x = 100,060.22/338.64
  6. Step 6: Final answer
    x = 295.48

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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.