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Finding the Fourth Proportional to 179.28, 266.83 and 178.27

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Solution

The fourth proportional to 179.28, 266.83 and 178.27 is: 265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.28 : 266.83 = 178.27 : x
  2. Step 2: Convert to fraction form
    179.28/266.83 = 178.27/x
  3. Step 3: Cross multiply
    179.28x = 266.83 × 178.27
  4. Step 4: Simplify right side
    179.28x = 47,566.67
  5. Step 5: Solve for x
    x = 47,566.67/179.28
  6. Step 6: Final answer
    x = 265.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.