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Finding the Fourth Proportional to 212.52, 293.22 and 160.68

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Solution

The fourth proportional to 212.52, 293.22 and 160.68 is: 221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.52 : 293.22 = 160.68 : x
  2. Step 2: Convert to fraction form
    212.52/293.22 = 160.68/x
  3. Step 3: Cross multiply
    212.52x = 293.22 × 160.68
  4. Step 4: Simplify right side
    212.52x = 47,114.59
  5. Step 5: Solve for x
    x = 47,114.59/212.52
  6. Step 6: Final answer
    x = 221.69

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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.