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Finding the Fourth Proportional to 255.92, 381.98 and 237.86

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Solution

The fourth proportional to 255.92, 381.98 and 237.86 is: 355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.92 : 381.98 = 237.86 : x
  2. Step 2: Convert to fraction form
    255.92/381.98 = 237.86/x
  3. Step 3: Cross multiply
    255.92x = 381.98 × 237.86
  4. Step 4: Simplify right side
    255.92x = 90,856.45
  5. Step 5: Solve for x
    x = 90,856.45/255.92
  6. Step 6: Final answer
    x = 355.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.