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Finding the Fourth Proportional to 206.18, 307.73 and 178.66

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Solution

The fourth proportional to 206.18, 307.73 and 178.66 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.18 : 307.73 = 178.66 : x
  2. Step 2: Convert to fraction form
    206.18/307.73 = 178.66/x
  3. Step 3: Cross multiply
    206.18x = 307.73 × 178.66
  4. Step 4: Simplify right side
    206.18x = 54,978.15
  5. Step 5: Solve for x
    x = 54,978.15/206.18
  6. Step 6: Final answer
    x = 266.65

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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.