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Finding the Fourth Proportional to 251.15, 376.14 and 178.10

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Solution

The fourth proportional to 251.15, 376.14 and 178.10 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.15 : 376.14 = 178.10 : x
  2. Step 2: Convert to fraction form
    251.15/376.14 = 178.10/x
  3. Step 3: Cross multiply
    251.15x = 376.14 × 178.10
  4. Step 4: Simplify right side
    251.15x = 66,990.73
  5. Step 5: Solve for x
    x = 66,990.73/251.15
  6. Step 6: Final answer
    x = 266.74

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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.