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Finding the Fourth Proportional to 205.19, 283.19 and 131.70

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Solution

The fourth proportional to 205.19, 283.19 and 131.70 is: 181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.19 : 283.19 = 131.70 : x
  2. Step 2: Convert to fraction form
    205.19/283.19 = 131.70/x
  3. Step 3: Cross multiply
    205.19x = 283.19 × 131.70
  4. Step 4: Simplify right side
    205.19x = 37,296.12
  5. Step 5: Solve for x
    x = 37,296.12/205.19
  6. Step 6: Final answer
    x = 181.76

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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.