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Finding the Fourth Proportional to 350.29, 524.70 and 281.44

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Solution

The fourth proportional to 350.29, 524.70 and 281.44 is: 421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.29 : 524.70 = 281.44 : x
  2. Step 2: Convert to fraction form
    350.29/524.70 = 281.44/x
  3. Step 3: Cross multiply
    350.29x = 524.70 × 281.44
  4. Step 4: Simplify right side
    350.29x = 147,671.57
  5. Step 5: Solve for x
    x = 147,671.57/350.29
  6. Step 6: Final answer
    x = 421.57

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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.