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Finding the Fourth Proportional to 205.06, 284.14 and 200.74

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Solution

The fourth proportional to 205.06, 284.14 and 200.74 is: 278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.06 : 284.14 = 200.74 : x
  2. Step 2: Convert to fraction form
    205.06/284.14 = 200.74/x
  3. Step 3: Cross multiply
    205.06x = 284.14 × 200.74
  4. Step 4: Simplify right side
    205.06x = 57,038.26
  5. Step 5: Solve for x
    x = 57,038.26/205.06
  6. Step 6: Final answer
    x = 278.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.