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Finding the Fourth Proportional to 397.06, 594.82 and 191.34

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Solution

The fourth proportional to 397.06, 594.82 and 191.34 is: 286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.06 : 594.82 = 191.34 : x
  2. Step 2: Convert to fraction form
    397.06/594.82 = 191.34/x
  3. Step 3: Cross multiply
    397.06x = 594.82 × 191.34
  4. Step 4: Simplify right side
    397.06x = 113,812.86
  5. Step 5: Solve for x
    x = 113,812.86/397.06
  6. Step 6: Final answer
    x = 286.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.