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Finding the Fourth Proportional to 377.21, 562.11 and 364.82

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Solution

The fourth proportional to 377.21, 562.11 and 364.82 is: 543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.21 : 562.11 = 364.82 : x
  2. Step 2: Convert to fraction form
    377.21/562.11 = 364.82/x
  3. Step 3: Cross multiply
    377.21x = 562.11 × 364.82
  4. Step 4: Simplify right side
    377.21x = 205,067.95
  5. Step 5: Solve for x
    x = 205,067.95/377.21
  6. Step 6: Final answer
    x = 543.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.