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Finding the Fourth Proportional to 378.16, 567.11 and 131.30

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Solution

The fourth proportional to 378.16, 567.11 and 131.30 is: 196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.16 : 567.11 = 131.30 : x
  2. Step 2: Convert to fraction form
    378.16/567.11 = 131.30/x
  3. Step 3: Cross multiply
    378.16x = 567.11 × 131.30
  4. Step 4: Simplify right side
    378.16x = 74,460.89
  5. Step 5: Solve for x
    x = 74,460.89/378.16
  6. Step 6: Final answer
    x = 196.90

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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.