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Finding the Fourth Proportional to 205.92, 307.62 and 192.24

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Solution

The fourth proportional to 205.92, 307.62 and 192.24 is: 287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 307.62 = 192.24 : x
  2. Step 2: Convert to fraction form
    205.92/307.62 = 192.24/x
  3. Step 3: Cross multiply
    205.92x = 307.62 × 192.24
  4. Step 4: Simplify right side
    205.92x = 59,136.87
  5. Step 5: Solve for x
    x = 59,136.87/205.92
  6. Step 6: Final answer
    x = 287.18

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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.