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Finding the Fourth Proportional to 306.74, 462.22 and 253.82

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Solution

The fourth proportional to 306.74, 462.22 and 253.82 is: 382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.74 : 462.22 = 253.82 : x
  2. Step 2: Convert to fraction form
    306.74/462.22 = 253.82/x
  3. Step 3: Cross multiply
    306.74x = 462.22 × 253.82
  4. Step 4: Simplify right side
    306.74x = 117,320.68
  5. Step 5: Solve for x
    x = 117,320.68/306.74
  6. Step 6: Final answer
    x = 382.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.