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Finding the Fourth Proportional to 251.41, 377.23 and 158.84

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Solution

The fourth proportional to 251.41, 377.23 and 158.84 is: 238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.41 : 377.23 = 158.84 : x
  2. Step 2: Convert to fraction form
    251.41/377.23 = 158.84/x
  3. Step 3: Cross multiply
    251.41x = 377.23 × 158.84
  4. Step 4: Simplify right side
    251.41x = 59,921.21
  5. Step 5: Solve for x
    x = 59,921.21/251.41
  6. Step 6: Final answer
    x = 238.34

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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.