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Finding the Fourth Proportional to 534.89, 738.21 and 302

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Solution

The fourth proportional to 534.89, 738.21 and 302 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.89 : 738.21 = 302 : x
  2. Step 2: Convert to fraction form
    534.89/738.21 = 302/x
  3. Step 3: Cross multiply
    534.89x = 738.21 × 302
  4. Step 4: Simplify right side
    534.89x = 222,939.42
  5. Step 5: Solve for x
    x = 222,939.42/534.89
  6. Step 6: Final answer
    x = 416.79

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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.