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Finding the Fourth Proportional to 210.05, 289.84 and 116.78

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Solution

The fourth proportional to 210.05, 289.84 and 116.78 is: 161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.05 : 289.84 = 116.78 : x
  2. Step 2: Convert to fraction form
    210.05/289.84 = 116.78/x
  3. Step 3: Cross multiply
    210.05x = 289.84 × 116.78
  4. Step 4: Simplify right side
    210.05x = 33,847.11
  5. Step 5: Solve for x
    x = 33,847.11/210.05
  6. Step 6: Final answer
    x = 161.14

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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.