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Finding the Fourth Proportional to 205.31, 307.78 and 101.17

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Solution

The fourth proportional to 205.31, 307.78 and 101.17 is: 151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 307.78 = 101.17 : x
  2. Step 2: Convert to fraction form
    205.31/307.78 = 101.17/x
  3. Step 3: Cross multiply
    205.31x = 307.78 × 101.17
  4. Step 4: Simplify right side
    205.31x = 31,138.10
  5. Step 5: Solve for x
    x = 31,138.10/205.31
  6. Step 6: Final answer
    x = 151.66

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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.