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Finding the Fourth Proportional to 552.11, 761.91 and 312.82

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Solution

The fourth proportional to 552.11, 761.91 and 312.82 is: 431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.11 : 761.91 = 312.82 : x
  2. Step 2: Convert to fraction form
    552.11/761.91 = 312.82/x
  3. Step 3: Cross multiply
    552.11x = 761.91 × 312.82
  4. Step 4: Simplify right side
    552.11x = 238,338.78
  5. Step 5: Solve for x
    x = 238,338.78/552.11
  6. Step 6: Final answer
    x = 431.69

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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.