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Finding the Fourth Proportional to 552.20, 762.32 and 355.84

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Solution

The fourth proportional to 552.20, 762.32 and 355.84 is: 491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.20 : 762.32 = 355.84 : x
  2. Step 2: Convert to fraction form
    552.20/762.32 = 355.84/x
  3. Step 3: Cross multiply
    552.20x = 762.32 × 355.84
  4. Step 4: Simplify right side
    552.20x = 271,263.95
  5. Step 5: Solve for x
    x = 271,263.95/552.20
  6. Step 6: Final answer
    x = 491.24

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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.