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Finding the Fourth Proportional to 381.66, 575.31 and 356.58

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Solution

The fourth proportional to 381.66, 575.31 and 356.58 is: 537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.66 : 575.31 = 356.58 : x
  2. Step 2: Convert to fraction form
    381.66/575.31 = 356.58/x
  3. Step 3: Cross multiply
    381.66x = 575.31 × 356.58
  4. Step 4: Simplify right side
    381.66x = 205,144.04
  5. Step 5: Solve for x
    x = 205,144.04/381.66
  6. Step 6: Final answer
    x = 537.50

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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.