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Finding the Fourth Proportional to 212.87, 293.56 and 134.16

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Solution

The fourth proportional to 212.87, 293.56 and 134.16 is: 185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.87 : 293.56 = 134.16 : x
  2. Step 2: Convert to fraction form
    212.87/293.56 = 134.16/x
  3. Step 3: Cross multiply
    212.87x = 293.56 × 134.16
  4. Step 4: Simplify right side
    212.87x = 39,383.67
  5. Step 5: Solve for x
    x = 39,383.67/212.87
  6. Step 6: Final answer
    x = 185.02

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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.