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Finding the Fourth Proportional to 378.31, 567.58 and 185.80

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Solution

The fourth proportional to 378.31, 567.58 and 185.80 is: 278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.31 : 567.58 = 185.80 : x
  2. Step 2: Convert to fraction form
    378.31/567.58 = 185.80/x
  3. Step 3: Cross multiply
    378.31x = 567.58 × 185.80
  4. Step 4: Simplify right side
    378.31x = 105,453.53
  5. Step 5: Solve for x
    x = 105,453.53/378.31
  6. Step 6: Final answer
    x = 278.75

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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.