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Finding the Fourth Proportional to 378.17, 567.41 and 183.31

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Solution

The fourth proportional to 378.17, 567.41 and 183.31 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.17 : 567.41 = 183.31 : x
  2. Step 2: Convert to fraction form
    378.17/567.41 = 183.31/x
  3. Step 3: Cross multiply
    378.17x = 567.41 × 183.31
  4. Step 4: Simplify right side
    378.17x = 104,014.52
  5. Step 5: Solve for x
    x = 104,014.52/378.17
  6. Step 6: Final answer
    x = 275.05

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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.