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Finding the Fourth Proportional to 213.12, 293.94 and 130.18

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Solution

The fourth proportional to 213.12, 293.94 and 130.18 is: 179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.12 : 293.94 = 130.18 : x
  2. Step 2: Convert to fraction form
    213.12/293.94 = 130.18/x
  3. Step 3: Cross multiply
    213.12x = 293.94 × 130.18
  4. Step 4: Simplify right side
    213.12x = 38,265.11
  5. Step 5: Solve for x
    x = 38,265.11/213.12
  6. Step 6: Final answer
    x = 179.55

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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.