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Finding the Fourth Proportional to 283.10, 390.92 and 194.72

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Solution

The fourth proportional to 283.10, 390.92 and 194.72 is: 268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 390.92 = 194.72 : x
  2. Step 2: Convert to fraction form
    283.10/390.92 = 194.72/x
  3. Step 3: Cross multiply
    283.10x = 390.92 × 194.72
  4. Step 4: Simplify right side
    283.10x = 76,117.01
  5. Step 5: Solve for x
    x = 76,117.01/283.10
  6. Step 6: Final answer
    x = 268.87

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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.