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Finding the Fourth Proportional to 378.50, 567.02 and 364.82

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Solution

The fourth proportional to 378.50, 567.02 and 364.82 is: 546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 567.02 = 364.82 : x
  2. Step 2: Convert to fraction form
    378.50/567.02 = 364.82/x
  3. Step 3: Cross multiply
    378.50x = 567.02 × 364.82
  4. Step 4: Simplify right side
    378.50x = 206,855.58
  5. Step 5: Solve for x
    x = 206,855.58/378.50
  6. Step 6: Final answer
    x = 546.52

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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.