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Finding the Fourth Proportional to 212.51, 293.20 and 137.84

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Solution

The fourth proportional to 212.51, 293.20 and 137.84 is: 190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.51 : 293.20 = 137.84 : x
  2. Step 2: Convert to fraction form
    212.51/293.20 = 137.84/x
  3. Step 3: Cross multiply
    212.51x = 293.20 × 137.84
  4. Step 4: Simplify right side
    212.51x = 40,414.31
  5. Step 5: Solve for x
    x = 40,414.31/212.51
  6. Step 6: Final answer
    x = 190.18

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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.