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Finding the Fourth Proportional to 381.11, 570.46 and 207.53

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Solution

The fourth proportional to 381.11, 570.46 and 207.53 is: 310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.11 : 570.46 = 207.53 : x
  2. Step 2: Convert to fraction form
    381.11/570.46 = 207.53/x
  3. Step 3: Cross multiply
    381.11x = 570.46 × 207.53
  4. Step 4: Simplify right side
    381.11x = 118,387.56
  5. Step 5: Solve for x
    x = 118,387.56/381.11
  6. Step 6: Final answer
    x = 310.64

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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.