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Finding the Fourth Proportional to 556.64, 834.67 and 191.30

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Solution

The fourth proportional to 556.64, 834.67 and 191.30 is: 286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.64 : 834.67 = 191.30 : x
  2. Step 2: Convert to fraction form
    556.64/834.67 = 191.30/x
  3. Step 3: Cross multiply
    556.64x = 834.67 × 191.30
  4. Step 4: Simplify right side
    556.64x = 159,672.37
  5. Step 5: Solve for x
    x = 159,672.37/556.64
  6. Step 6: Final answer
    x = 286.85

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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.