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Finding the Fourth Proportional to 210.92, 315.74 and 138.60

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Solution

The fourth proportional to 210.92, 315.74 and 138.60 is: 207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.92 : 315.74 = 138.60 : x
  2. Step 2: Convert to fraction form
    210.92/315.74 = 138.60/x
  3. Step 3: Cross multiply
    210.92x = 315.74 × 138.60
  4. Step 4: Simplify right side
    210.92x = 43,761.56
  5. Step 5: Solve for x
    x = 43,761.56/210.92
  6. Step 6: Final answer
    x = 207.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.