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Finding the Fourth Proportional to 213.01, 293.93 and 130.11

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Solution

The fourth proportional to 213.01, 293.93 and 130.11 is: 179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.01 : 293.93 = 130.11 : x
  2. Step 2: Convert to fraction form
    213.01/293.93 = 130.11/x
  3. Step 3: Cross multiply
    213.01x = 293.93 × 130.11
  4. Step 4: Simplify right side
    213.01x = 38,241.97
  5. Step 5: Solve for x
    x = 38,241.97/213.01
  6. Step 6: Final answer
    x = 179.53

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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.