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Finding the Fourth Proportional to 210.68, 289.57 and 185.97

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Solution

The fourth proportional to 210.68, 289.57 and 185.97 is: 255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.68 : 289.57 = 185.97 : x
  2. Step 2: Convert to fraction form
    210.68/289.57 = 185.97/x
  3. Step 3: Cross multiply
    210.68x = 289.57 × 185.97
  4. Step 4: Simplify right side
    210.68x = 53,850.40
  5. Step 5: Solve for x
    x = 53,850.40/210.68
  6. Step 6: Final answer
    x = 255.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.