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Finding the Fourth Proportional to 244.31, 364.56 and 218.34

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Solution

The fourth proportional to 244.31, 364.56 and 218.34 is: 325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.31 : 364.56 = 218.34 : x
  2. Step 2: Convert to fraction form
    244.31/364.56 = 218.34/x
  3. Step 3: Cross multiply
    244.31x = 364.56 × 218.34
  4. Step 4: Simplify right side
    244.31x = 79,600.22
  5. Step 5: Solve for x
    x = 79,600.22/244.31
  6. Step 6: Final answer
    x = 325.82

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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.