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Finding the Fourth Proportional to 205.98, 307.29 and 195.72

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Solution

The fourth proportional to 205.98, 307.29 and 195.72 is: 291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 307.29 = 195.72 : x
  2. Step 2: Convert to fraction form
    205.98/307.29 = 195.72/x
  3. Step 3: Cross multiply
    205.98x = 307.29 × 195.72
  4. Step 4: Simplify right side
    205.98x = 60,142.80
  5. Step 5: Solve for x
    x = 60,142.80/205.98
  6. Step 6: Final answer
    x = 291.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.