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Finding the Fourth Proportional to 381.52, 571.80 and 253.12

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Solution

The fourth proportional to 381.52, 571.80 and 253.12 is: 379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.52 : 571.80 = 253.12 : x
  2. Step 2: Convert to fraction form
    381.52/571.80 = 253.12/x
  3. Step 3: Cross multiply
    381.52x = 571.80 × 253.12
  4. Step 4: Simplify right side
    381.52x = 144,734.02
  5. Step 5: Solve for x
    x = 144,734.02/381.52
  6. Step 6: Final answer
    x = 379.36

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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.