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Finding the Fourth Proportional to 378.64, 567.98 and 131.85

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Solution

The fourth proportional to 378.64, 567.98 and 131.85 is: 197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 567.98 = 131.85 : x
  2. Step 2: Convert to fraction form
    378.64/567.98 = 131.85/x
  3. Step 3: Cross multiply
    378.64x = 567.98 × 131.85
  4. Step 4: Simplify right side
    378.64x = 74,888.16
  5. Step 5: Solve for x
    x = 74,888.16/378.64
  6. Step 6: Final answer
    x = 197.78

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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.