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Finding the Fourth Proportional to 350.48, 524.34 and 282.13

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Solution

The fourth proportional to 350.48, 524.34 and 282.13 is: 422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.48 : 524.34 = 282.13 : x
  2. Step 2: Convert to fraction form
    350.48/524.34 = 282.13/x
  3. Step 3: Cross multiply
    350.48x = 524.34 × 282.13
  4. Step 4: Simplify right side
    350.48x = 147,930.73
  5. Step 5: Solve for x
    x = 147,930.73/350.48
  6. Step 6: Final answer
    x = 422.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.