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Finding the Fourth Proportional to 205.30, 308.15 and 102.70

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Solution

The fourth proportional to 205.30, 308.15 and 102.70 is: 154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.30 : 308.15 = 102.70 : x
  2. Step 2: Convert to fraction form
    205.30/308.15 = 102.70/x
  3. Step 3: Cross multiply
    205.30x = 308.15 × 102.70
  4. Step 4: Simplify right side
    205.30x = 31,647.01
  5. Step 5: Solve for x
    x = 31,647.01/205.30
  6. Step 6: Final answer
    x = 154.15

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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.