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Finding the Fourth Proportional to 206.61, 309.43 and 202.15

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Solution

The fourth proportional to 206.61, 309.43 and 202.15 is: 302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.61 : 309.43 = 202.15 : x
  2. Step 2: Convert to fraction form
    206.61/309.43 = 202.15/x
  3. Step 3: Cross multiply
    206.61x = 309.43 × 202.15
  4. Step 4: Simplify right side
    206.61x = 62,551.27
  5. Step 5: Solve for x
    x = 62,551.27/206.61
  6. Step 6: Final answer
    x = 302.75

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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.