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Finding the Fourth Proportional to 205.71, 283.99 and 142.78

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Solution

The fourth proportional to 205.71, 283.99 and 142.78 is: 197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.71 : 283.99 = 142.78 : x
  2. Step 2: Convert to fraction form
    205.71/283.99 = 142.78/x
  3. Step 3: Cross multiply
    205.71x = 283.99 × 142.78
  4. Step 4: Simplify right side
    205.71x = 40,547.74
  5. Step 5: Solve for x
    x = 40,547.74/205.71
  6. Step 6: Final answer
    x = 197.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.