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Finding the Fourth Proportional to 210.12, 289.96 and 116.86

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Solution

The fourth proportional to 210.12, 289.96 and 116.86 is: 161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.12 : 289.96 = 116.86 : x
  2. Step 2: Convert to fraction form
    210.12/289.96 = 116.86/x
  3. Step 3: Cross multiply
    210.12x = 289.96 × 116.86
  4. Step 4: Simplify right side
    210.12x = 33,884.14
  5. Step 5: Solve for x
    x = 33,884.14/210.12
  6. Step 6: Final answer
    x = 161.26

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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.