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Finding the Fourth Proportional to 179.05, 268.50 and 70.78

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Solution

The fourth proportional to 179.05, 268.50 and 70.78 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.05 : 268.50 = 70.78 : x
  2. Step 2: Convert to fraction form
    179.05/268.50 = 70.78/x
  3. Step 3: Cross multiply
    179.05x = 268.50 × 70.78
  4. Step 4: Simplify right side
    179.05x = 19,004.43
  5. Step 5: Solve for x
    x = 19,004.43/179.05
  6. Step 6: Final answer
    x = 106.14

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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.