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Finding the Fourth Proportional to 293.64, 405.22 and 160.86

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Solution

The fourth proportional to 293.64, 405.22 and 160.86 is: 221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 405.22 = 160.86 : x
  2. Step 2: Convert to fraction form
    293.64/405.22 = 160.86/x
  3. Step 3: Cross multiply
    293.64x = 405.22 × 160.86
  4. Step 4: Simplify right side
    293.64x = 65,181.99
  5. Step 5: Solve for x
    x = 65,181.99/293.64
  6. Step 6: Final answer
    x = 221.98

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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.