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Finding the Fourth Proportional to 557.08, 835.30 and 191.68

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Solution

The fourth proportional to 557.08, 835.30 and 191.68 is: 287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.08 : 835.30 = 191.68 : x
  2. Step 2: Convert to fraction form
    557.08/835.30 = 191.68/x
  3. Step 3: Cross multiply
    557.08x = 835.30 × 191.68
  4. Step 4: Simplify right side
    557.08x = 160,110.30
  5. Step 5: Solve for x
    x = 160,110.30/557.08
  6. Step 6: Final answer
    x = 287.41

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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.