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Finding the Fourth Proportional to 378.78, 567.18 and 317.76

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Solution

The fourth proportional to 378.78, 567.18 and 317.76 is: 475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.78 : 567.18 = 317.76 : x
  2. Step 2: Convert to fraction form
    378.78/567.18 = 317.76/x
  3. Step 3: Cross multiply
    378.78x = 567.18 × 317.76
  4. Step 4: Simplify right side
    378.78x = 180,227.12
  5. Step 5: Solve for x
    x = 180,227.12/378.78
  6. Step 6: Final answer
    x = 475.81

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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.