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Finding the Fourth Proportional to 210.22, 289.83 and 168.82

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Solution

The fourth proportional to 210.22, 289.83 and 168.82 is: 232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.22 : 289.83 = 168.82 : x
  2. Step 2: Convert to fraction form
    210.22/289.83 = 168.82/x
  3. Step 3: Cross multiply
    210.22x = 289.83 × 168.82
  4. Step 4: Simplify right side
    210.22x = 48,929.10
  5. Step 5: Solve for x
    x = 48,929.10/210.22
  6. Step 6: Final answer
    x = 232.75

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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.