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Finding the Fourth Proportional to 380.72, 569.86 and 250.83

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Solution

The fourth proportional to 380.72, 569.86 and 250.83 is: 375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.72 : 569.86 = 250.83 : x
  2. Step 2: Convert to fraction form
    380.72/569.86 = 250.83/x
  3. Step 3: Cross multiply
    380.72x = 569.86 × 250.83
  4. Step 4: Simplify right side
    380.72x = 142,937.36
  5. Step 5: Solve for x
    x = 142,937.36/380.72
  6. Step 6: Final answer
    x = 375.44

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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.