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Finding the Fourth Proportional to 561.90, 842.92 and 151.05

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Solution

The fourth proportional to 561.90, 842.92 and 151.05 is: 226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.90 : 842.92 = 151.05 : x
  2. Step 2: Convert to fraction form
    561.90/842.92 = 151.05/x
  3. Step 3: Cross multiply
    561.90x = 842.92 × 151.05
  4. Step 4: Simplify right side
    561.90x = 127,321.96
  5. Step 5: Solve for x
    x = 127,321.96/561.90
  6. Step 6: Final answer
    x = 226.59

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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.