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Finding the Fourth Proportional to 380.71, 572.07 and 207.49

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Solution

The fourth proportional to 380.71, 572.07 and 207.49 is: 311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.71 : 572.07 = 207.49 : x
  2. Step 2: Convert to fraction form
    380.71/572.07 = 207.49/x
  3. Step 3: Cross multiply
    380.71x = 572.07 × 207.49
  4. Step 4: Simplify right side
    380.71x = 118,698.80
  5. Step 5: Solve for x
    x = 118,698.80/380.71
  6. Step 6: Final answer
    x = 311.78

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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.