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Finding the Fourth Proportional to 205.94, 284.21 and 117.42

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Solution

The fourth proportional to 205.94, 284.21 and 117.42 is: 162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 284.21 = 117.42 : x
  2. Step 2: Convert to fraction form
    205.94/284.21 = 117.42/x
  3. Step 3: Cross multiply
    205.94x = 284.21 × 117.42
  4. Step 4: Simplify right side
    205.94x = 33,371.35
  5. Step 5: Solve for x
    x = 33,371.35/205.94
  6. Step 6: Final answer
    x = 162.05

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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.