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Finding the Fourth Proportional to 205.72, 307.02 and 197.35

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Solution

The fourth proportional to 205.72, 307.02 and 197.35 is: 294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.72 : 307.02 = 197.35 : x
  2. Step 2: Convert to fraction form
    205.72/307.02 = 197.35/x
  3. Step 3: Cross multiply
    205.72x = 307.02 × 197.35
  4. Step 4: Simplify right side
    205.72x = 60,590.38
  5. Step 5: Solve for x
    x = 60,590.38/205.72
  6. Step 6: Final answer
    x = 294.53

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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.