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Finding the Fourth Proportional to 206.25, 309.62 and 98.05

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Solution

The fourth proportional to 206.25, 309.62 and 98.05 is: 147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.25 : 309.62 = 98.05 : x
  2. Step 2: Convert to fraction form
    206.25/309.62 = 98.05/x
  3. Step 3: Cross multiply
    206.25x = 309.62 × 98.05
  4. Step 4: Simplify right side
    206.25x = 30,358.24
  5. Step 5: Solve for x
    x = 30,358.24/206.25
  6. Step 6: Final answer
    x = 147.19

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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.