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Finding the Fourth Proportional to 381.36, 571.08 and 259.20

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Solution

The fourth proportional to 381.36, 571.08 and 259.20 is: 388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.36 : 571.08 = 259.20 : x
  2. Step 2: Convert to fraction form
    381.36/571.08 = 259.20/x
  3. Step 3: Cross multiply
    381.36x = 571.08 × 259.20
  4. Step 4: Simplify right side
    381.36x = 148,023.94
  5. Step 5: Solve for x
    x = 148,023.94/381.36
  6. Step 6: Final answer
    x = 388.15

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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.