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Finding the Fourth Proportional to 351.89, 527.85 and 270.57

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Solution

The fourth proportional to 351.89, 527.85 and 270.57 is: 405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.89 : 527.85 = 270.57 : x
  2. Step 2: Convert to fraction form
    351.89/527.85 = 270.57/x
  3. Step 3: Cross multiply
    351.89x = 527.85 × 270.57
  4. Step 4: Simplify right side
    351.89x = 142,820.37
  5. Step 5: Solve for x
    x = 142,820.37/351.89
  6. Step 6: Final answer
    x = 405.87

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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.