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Finding the Fourth Proportional to 205.79, 284.05 and 117.32

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Solution

The fourth proportional to 205.79, 284.05 and 117.32 is: 161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.79 : 284.05 = 117.32 : x
  2. Step 2: Convert to fraction form
    205.79/284.05 = 117.32/x
  3. Step 3: Cross multiply
    205.79x = 284.05 × 117.32
  4. Step 4: Simplify right side
    205.79x = 33,325.52
  5. Step 5: Solve for x
    x = 33,325.52/205.79
  6. Step 6: Final answer
    x = 161.94

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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.