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Finding the Fourth Proportional to 206.18, 309.15 and 120.50

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Solution

The fourth proportional to 206.18, 309.15 and 120.50 is: 180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.18 : 309.15 = 120.50 : x
  2. Step 2: Convert to fraction form
    206.18/309.15 = 120.50/x
  3. Step 3: Cross multiply
    206.18x = 309.15 × 120.50
  4. Step 4: Simplify right side
    206.18x = 37,252.58
  5. Step 5: Solve for x
    x = 37,252.58/206.18
  6. Step 6: Final answer
    x = 180.68

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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.