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Finding the Fourth Proportional to 210.50, 289.71 and 185.12

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Solution

The fourth proportional to 210.50, 289.71 and 185.12 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.50 : 289.71 = 185.12 : x
  2. Step 2: Convert to fraction form
    210.50/289.71 = 185.12/x
  3. Step 3: Cross multiply
    210.50x = 289.71 × 185.12
  4. Step 4: Simplify right side
    210.50x = 53,631.12
  5. Step 5: Solve for x
    x = 53,631.12/210.50
  6. Step 6: Final answer
    x = 254.78

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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.