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Finding the Fourth Proportional to 292.23, 403.47 and 181.86

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Solution

The fourth proportional to 292.23, 403.47 and 181.86 is: 251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.23 : 403.47 = 181.86 : x
  2. Step 2: Convert to fraction form
    292.23/403.47 = 181.86/x
  3. Step 3: Cross multiply
    292.23x = 403.47 × 181.86
  4. Step 4: Simplify right side
    292.23x = 73,375.05
  5. Step 5: Solve for x
    x = 73,375.05/292.23
  6. Step 6: Final answer
    x = 251.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.