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Finding the Fourth Proportional to 206.62, 311.51 and 178.00

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Solution

The fourth proportional to 206.62, 311.51 and 178.00 is: 268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.62 : 311.51 = 178.00 : x
  2. Step 2: Convert to fraction form
    206.62/311.51 = 178.00/x
  3. Step 3: Cross multiply
    206.62x = 311.51 × 178.00
  4. Step 4: Simplify right side
    206.62x = 55,448.45
  5. Step 5: Solve for x
    x = 55,448.45/206.62
  6. Step 6: Final answer
    x = 268.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.