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Finding the Fourth Proportional to 251.11, 375.85 and 177.81

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Solution

The fourth proportional to 251.11, 375.85 and 177.81 is: 266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.11 : 375.85 = 177.81 : x
  2. Step 2: Convert to fraction form
    251.11/375.85 = 177.81/x
  3. Step 3: Cross multiply
    251.11x = 375.85 × 177.81
  4. Step 4: Simplify right side
    251.11x = 66,829.89
  5. Step 5: Solve for x
    x = 66,829.89/251.11
  6. Step 6: Final answer
    x = 266.14

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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.