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Finding the Fourth Proportional to 210.13, 289.86 and 168.73

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Solution

The fourth proportional to 210.13, 289.86 and 168.73 is: 232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.13 : 289.86 = 168.73 : x
  2. Step 2: Convert to fraction form
    210.13/289.86 = 168.73/x
  3. Step 3: Cross multiply
    210.13x = 289.86 × 168.73
  4. Step 4: Simplify right side
    210.13x = 48,908.08
  5. Step 5: Solve for x
    x = 48,908.08/210.13
  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.