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Finding the Fourth Proportional to 206.44, 309.32 and 145.45

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Solution

The fourth proportional to 206.44, 309.32 and 145.45 is: 217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.44 : 309.32 = 145.45 : x
  2. Step 2: Convert to fraction form
    206.44/309.32 = 145.45/x
  3. Step 3: Cross multiply
    206.44x = 309.32 × 145.45
  4. Step 4: Simplify right side
    206.44x = 44,990.98
  5. Step 5: Solve for x
    x = 44,990.98/206.44
  6. Step 6: Final answer
    x = 217.93

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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.