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Finding the Fourth Proportional to 206.05, 307.76 and 186.50

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Solution

The fourth proportional to 206.05, 307.76 and 186.50 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.05 : 307.76 = 186.50 : x
  2. Step 2: Convert to fraction form
    206.05/307.76 = 186.50/x
  3. Step 3: Cross multiply
    206.05x = 307.76 × 186.50
  4. Step 4: Simplify right side
    206.05x = 57,397.52
  5. Step 5: Solve for x
    x = 57,397.52/206.05
  6. Step 6: Final answer
    x = 278.56

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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.