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Finding the Fourth Proportional to 616.24, 923.97 and 205.27

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Solution

The fourth proportional to 616.24, 923.97 and 205.27 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.24 : 923.97 = 205.27 : x
  2. Step 2: Convert to fraction form
    616.24/923.97 = 205.27/x
  3. Step 3: Cross multiply
    616.24x = 923.97 × 205.27
  4. Step 4: Simplify right side
    616.24x = 189,658.70
  5. Step 5: Solve for x
    x = 189,658.70/616.24
  6. Step 6: Final answer
    x = 307.77

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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.