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Finding the Fourth Proportional to 210.96, 316.64 and 119.64

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Solution

The fourth proportional to 210.96, 316.64 and 119.64 is: 179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.96 : 316.64 = 119.64 : x
  2. Step 2: Convert to fraction form
    210.96/316.64 = 119.64/x
  3. Step 3: Cross multiply
    210.96x = 316.64 × 119.64
  4. Step 4: Simplify right side
    210.96x = 37,882.81
  5. Step 5: Solve for x
    x = 37,882.81/210.96
  6. Step 6: Final answer
    x = 179.57

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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.