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Finding the Fourth Proportional to 212.27, 293.27 and 147.11

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Solution

The fourth proportional to 212.27, 293.27 and 147.11 is: 203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.27 : 293.27 = 147.11 : x
  2. Step 2: Convert to fraction form
    212.27/293.27 = 147.11/x
  3. Step 3: Cross multiply
    212.27x = 293.27 × 147.11
  4. Step 4: Simplify right side
    212.27x = 43,140.75
  5. Step 5: Solve for x
    x = 43,140.75/212.27
  6. Step 6: Final answer
    x = 203.24

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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.