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Finding the Fourth Proportional to 264.39, 394.73 and 218.82

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Solution

The fourth proportional to 264.39, 394.73 and 218.82 is: 326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.39 : 394.73 = 218.82 : x
  2. Step 2: Convert to fraction form
    264.39/394.73 = 218.82/x
  3. Step 3: Cross multiply
    264.39x = 394.73 × 218.82
  4. Step 4: Simplify right side
    264.39x = 86,374.82
  5. Step 5: Solve for x
    x = 86,374.82/264.39
  6. Step 6: Final answer
    x = 326.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.