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Finding the Fourth Proportional to 205.71, 309.61 and 154.62

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Solution

The fourth proportional to 205.71, 309.61 and 154.62 is: 232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.71 : 309.61 = 154.62 : x
  2. Step 2: Convert to fraction form
    205.71/309.61 = 154.62/x
  3. Step 3: Cross multiply
    205.71x = 309.61 × 154.62
  4. Step 4: Simplify right side
    205.71x = 47,871.90
  5. Step 5: Solve for x
    x = 47,871.90/205.71
  6. Step 6: Final answer
    x = 232.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.