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Finding the Fourth Proportional to 349.26, 480.30 and 282.06

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Solution

The fourth proportional to 349.26, 480.30 and 282.06 is: 387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.26 : 480.30 = 282.06 : x
  2. Step 2: Convert to fraction form
    349.26/480.30 = 282.06/x
  3. Step 3: Cross multiply
    349.26x = 480.30 × 282.06
  4. Step 4: Simplify right side
    349.26x = 135,473.42
  5. Step 5: Solve for x
    x = 135,473.42/349.26
  6. Step 6: Final answer
    x = 387.89

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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.