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Finding the Fourth Proportional to 213.12, 293.52 and 189.68

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Solution

The fourth proportional to 213.12, 293.52 and 189.68 is: 261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.12 : 293.52 = 189.68 : x
  2. Step 2: Convert to fraction form
    213.12/293.52 = 189.68/x
  3. Step 3: Cross multiply
    213.12x = 293.52 × 189.68
  4. Step 4: Simplify right side
    213.12x = 55,674.87
  5. Step 5: Solve for x
    x = 55,674.87/213.12
  6. Step 6: Final answer
    x = 261.24

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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.