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Finding the Fourth Proportional to 250.57, 376.71 and 197.11

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Solution

The fourth proportional to 250.57, 376.71 and 197.11 is: 296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.57 : 376.71 = 197.11 : x
  2. Step 2: Convert to fraction form
    250.57/376.71 = 197.11/x
  3. Step 3: Cross multiply
    250.57x = 376.71 × 197.11
  4. Step 4: Simplify right side
    250.57x = 74,253.31
  5. Step 5: Solve for x
    x = 74,253.31/250.57
  6. Step 6: Final answer
    x = 296.34

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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.