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Finding the Fourth Proportional to 306.18, 457.41 and 218.82

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Solution

The fourth proportional to 306.18, 457.41 and 218.82 is: 326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.18 : 457.41 = 218.82 : x
  2. Step 2: Convert to fraction form
    306.18/457.41 = 218.82/x
  3. Step 3: Cross multiply
    306.18x = 457.41 × 218.82
  4. Step 4: Simplify right side
    306.18x = 100,090.46
  5. Step 5: Solve for x
    x = 100,090.46/306.18
  6. Step 6: Final answer
    x = 326.90

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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.