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Finding the Fourth Proportional to 206.37, 307.13 and 199.80

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Solution

The fourth proportional to 206.37, 307.13 and 199.80 is: 297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.37 : 307.13 = 199.80 : x
  2. Step 2: Convert to fraction form
    206.37/307.13 = 199.80/x
  3. Step 3: Cross multiply
    206.37x = 307.13 × 199.80
  4. Step 4: Simplify right side
    206.37x = 61,363.58
  5. Step 5: Solve for x
    x = 61,363.58/206.37
  6. Step 6: Final answer
    x = 297.35

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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.