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Finding the Fourth Proportional to 210.54, 316.31 and 164.78

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Solution

The fourth proportional to 210.54, 316.31 and 164.78 is: 247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.54 : 316.31 = 164.78 : x
  2. Step 2: Convert to fraction form
    210.54/316.31 = 164.78/x
  3. Step 3: Cross multiply
    210.54x = 316.31 × 164.78
  4. Step 4: Simplify right side
    210.54x = 52,121.56
  5. Step 5: Solve for x
    x = 52,121.56/210.54
  6. Step 6: Final answer
    x = 247.56

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