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Finding the Fourth Proportional to 212.37, 292.92 and 149.25

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Solution

The fourth proportional to 212.37, 292.92 and 149.25 is: 205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.37 : 292.92 = 149.25 : x
  2. Step 2: Convert to fraction form
    212.37/292.92 = 149.25/x
  3. Step 3: Cross multiply
    212.37x = 292.92 × 149.25
  4. Step 4: Simplify right side
    212.37x = 43,718.31
  5. Step 5: Solve for x
    x = 43,718.31/212.37
  6. Step 6: Final answer
    x = 205.86

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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.