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Finding the Fourth Proportional to 257.28, 387.36 and 222

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Solution

The fourth proportional to 257.28, 387.36 and 222 is: 334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.28 : 387.36 = 222 : x
  2. Step 2: Convert to fraction form
    257.28/387.36 = 222/x
  3. Step 3: Cross multiply
    257.28x = 387.36 × 222
  4. Step 4: Simplify right side
    257.28x = 85,993.92
  5. Step 5: Solve for x
    x = 85,993.92/257.28
  6. Step 6: Final answer
    x = 334.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.