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Finding the Fourth Proportional to 210.82, 315.92 and 119.44

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Solution

The fourth proportional to 210.82, 315.92 and 119.44 is: 178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.82 : 315.92 = 119.44 : x
  2. Step 2: Convert to fraction form
    210.82/315.92 = 119.44/x
  3. Step 3: Cross multiply
    210.82x = 315.92 × 119.44
  4. Step 4: Simplify right side
    210.82x = 37,733.48
  5. Step 5: Solve for x
    x = 37,733.48/210.82
  6. Step 6: Final answer
    x = 178.98

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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.