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Finding the Fourth Proportional to 378.64, 567.92 and 159.20

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Solution

The fourth proportional to 378.64, 567.92 and 159.20 is: 238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 567.92 = 159.20 : x
  2. Step 2: Convert to fraction form
    378.64/567.92 = 159.20/x
  3. Step 3: Cross multiply
    378.64x = 567.92 × 159.20
  4. Step 4: Simplify right side
    378.64x = 90,412.07
  5. Step 5: Solve for x
    x = 90,412.07/378.64
  6. Step 6: Final answer
    x = 238.78

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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.