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Finding the Fourth Proportional to 205.14, 283.10 and 117.81

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Solution

The fourth proportional to 205.14, 283.10 and 117.81 is: 162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.14 : 283.10 = 117.81 : x
  2. Step 2: Convert to fraction form
    205.14/283.10 = 117.81/x
  3. Step 3: Cross multiply
    205.14x = 283.10 × 117.81
  4. Step 4: Simplify right side
    205.14x = 33,352.01
  5. Step 5: Solve for x
    x = 33,352.01/205.14
  6. Step 6: Final answer
    x = 162.58

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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.