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Finding the Fourth Proportional to 212.77, 292.49 and 190.39

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Solution

The fourth proportional to 212.77, 292.49 and 190.39 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.77 : 292.49 = 190.39 : x
  2. Step 2: Convert to fraction form
    212.77/292.49 = 190.39/x
  3. Step 3: Cross multiply
    212.77x = 292.49 × 190.39
  4. Step 4: Simplify right side
    212.77x = 55,687.17
  5. Step 5: Solve for x
    x = 55,687.17/212.77
  6. Step 6: Final answer
    x = 261.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.