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Finding the Fourth Proportional to 381.28, 524.40 and 355.36

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Solution

The fourth proportional to 381.28, 524.40 and 355.36 is: 488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.28 : 524.40 = 355.36 : x
  2. Step 2: Convert to fraction form
    381.28/524.40 = 355.36/x
  3. Step 3: Cross multiply
    381.28x = 524.40 × 355.36
  4. Step 4: Simplify right side
    381.28x = 186,350.78
  5. Step 5: Solve for x
    x = 186,350.78/381.28
  6. Step 6: Final answer
    x = 488.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.