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Finding the Fourth Proportional to 250.86, 377.10 and 155.28

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Solution

The fourth proportional to 250.86, 377.10 and 155.28 is: 233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.86 : 377.10 = 155.28 : x
  2. Step 2: Convert to fraction form
    250.86/377.10 = 155.28/x
  3. Step 3: Cross multiply
    250.86x = 377.10 × 155.28
  4. Step 4: Simplify right side
    250.86x = 58,556.09
  5. Step 5: Solve for x
    x = 58,556.09/250.86
  6. Step 6: Final answer
    x = 233.42

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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.