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Finding the Fourth Proportional to 493.78, 741.07 and 250.37

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Solution

The fourth proportional to 493.78, 741.07 and 250.37 is: 375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.78 : 741.07 = 250.37 : x
  2. Step 2: Convert to fraction form
    493.78/741.07 = 250.37/x
  3. Step 3: Cross multiply
    493.78x = 741.07 × 250.37
  4. Step 4: Simplify right side
    493.78x = 185,545.96
  5. Step 5: Solve for x
    x = 185,545.96/493.78
  6. Step 6: Final answer
    x = 375.77

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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.