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Finding the Fourth Proportional to 210.56, 315.68 and 119.20

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Solution

The fourth proportional to 210.56, 315.68 and 119.20 is: 178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.56 : 315.68 = 119.20 : x
  2. Step 2: Convert to fraction form
    210.56/315.68 = 119.20/x
  3. Step 3: Cross multiply
    210.56x = 315.68 × 119.20
  4. Step 4: Simplify right side
    210.56x = 37,629.06
  5. Step 5: Solve for x
    x = 37,629.06/210.56
  6. Step 6: Final answer
    x = 178.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.