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Finding the Fourth Proportional to 210.12, 289.96 and 126.09

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Solution

The fourth proportional to 210.12, 289.96 and 126.09 is: 174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.12 : 289.96 = 126.09 : x
  2. Step 2: Convert to fraction form
    210.12/289.96 = 126.09/x
  3. Step 3: Cross multiply
    210.12x = 289.96 × 126.09
  4. Step 4: Simplify right side
    210.12x = 36,562.01
  5. Step 5: Solve for x
    x = 36,562.01/210.12
  6. Step 6: Final answer
    x = 174.01

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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.