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Finding the Fourth Proportional to 206.40, 309.62 and 84.66

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Solution

The fourth proportional to 206.40, 309.62 and 84.66 is: 127.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.40 : 309.62 = 84.66 : x
  2. Step 2: Convert to fraction form
    206.40/309.62 = 84.66/x
  3. Step 3: Cross multiply
    206.40x = 309.62 × 84.66
  4. Step 4: Simplify right side
    206.40x = 26,212.43
  5. Step 5: Solve for x
    x = 26,212.43/206.40
  6. Step 6: Final answer
    x = 127.00

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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.