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Finding the Fourth Proportional to 178.05, 266.99 and 75.31

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Solution

The fourth proportional to 178.05, 266.99 and 75.31 is: 112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.05 : 266.99 = 75.31 : x
  2. Step 2: Convert to fraction form
    178.05/266.99 = 75.31/x
  3. Step 3: Cross multiply
    178.05x = 266.99 × 75.31
  4. Step 4: Simplify right side
    178.05x = 20,107.02
  5. Step 5: Solve for x
    x = 20,107.02/178.05
  6. Step 6: Final answer
    x = 112.93

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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.