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Finding the Fourth Proportional to 552.18, 762 and 355.70

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Solution

The fourth proportional to 552.18, 762 and 355.70 is: 490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.18 : 762 = 355.70 : x
  2. Step 2: Convert to fraction form
    552.18/762 = 355.70/x
  3. Step 3: Cross multiply
    552.18x = 762 × 355.70
  4. Step 4: Simplify right side
    552.18x = 271,039.59
  5. Step 5: Solve for x
    x = 271,039.59/552.18
  6. Step 6: Final answer
    x = 490.85

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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.