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Finding the Fourth Proportional to 210.12, 289.92 and 122.77

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Solution

The fourth proportional to 210.12, 289.92 and 122.77 is: 169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.12 : 289.92 = 122.77 : x
  2. Step 2: Convert to fraction form
    210.12/289.92 = 122.77/x
  3. Step 3: Cross multiply
    210.12x = 289.92 × 122.77
  4. Step 4: Simplify right side
    210.12x = 35,593.48
  5. Step 5: Solve for x
    x = 35,593.48/210.12
  6. Step 6: Final answer
    x = 169.40

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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.