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Finding the Fourth Proportional to 556.35, 834.30 and 191.04

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Solution

The fourth proportional to 556.35, 834.30 and 191.04 is: 286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.35 : 834.30 = 191.04 : x
  2. Step 2: Convert to fraction form
    556.35/834.30 = 191.04/x
  3. Step 3: Cross multiply
    556.35x = 834.30 × 191.04
  4. Step 4: Simplify right side
    556.35x = 159,384.67
  5. Step 5: Solve for x
    x = 159,384.67/556.35
  6. Step 6: Final answer
    x = 286.48

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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.