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Finding the Fourth Proportional to 380.08, 570.80 and 250.34

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Solution

The fourth proportional to 380.08, 570.80 and 250.34 is: 375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 570.80 = 250.34 : x
  2. Step 2: Convert to fraction form
    380.08/570.80 = 250.34/x
  3. Step 3: Cross multiply
    380.08x = 570.80 × 250.34
  4. Step 4: Simplify right side
    380.08x = 142,894.07
  5. Step 5: Solve for x
    x = 142,894.07/380.08
  6. Step 6: Final answer
    x = 375.96

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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.