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Finding the Fourth Proportional to 205.33, 307.84 and 97.06

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Solution

The fourth proportional to 205.33, 307.84 and 97.06 is: 145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.33 : 307.84 = 97.06 : x
  2. Step 2: Convert to fraction form
    205.33/307.84 = 97.06/x
  3. Step 3: Cross multiply
    205.33x = 307.84 × 97.06
  4. Step 4: Simplify right side
    205.33x = 29,878.95
  5. Step 5: Solve for x
    x = 29,878.95/205.33
  6. Step 6: Final answer
    x = 145.52

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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.