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Finding the Fourth Proportional to 552.71, 829.38 and 264.17

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Solution

The fourth proportional to 552.71, 829.38 and 264.17 is: 396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.71 : 829.38 = 264.17 : x
  2. Step 2: Convert to fraction form
    552.71/829.38 = 264.17/x
  3. Step 3: Cross multiply
    552.71x = 829.38 × 264.17
  4. Step 4: Simplify right side
    552.71x = 219,097.31
  5. Step 5: Solve for x
    x = 219,097.31/552.71
  6. Step 6: Final answer
    x = 396.41

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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.