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Finding the Fourth Proportional to 212.01, 316.79 and 170.90

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Solution

The fourth proportional to 212.01, 316.79 and 170.90 is: 255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.01 : 316.79 = 170.90 : x
  2. Step 2: Convert to fraction form
    212.01/316.79 = 170.90/x
  3. Step 3: Cross multiply
    212.01x = 316.79 × 170.90
  4. Step 4: Simplify right side
    212.01x = 54,139.41
  5. Step 5: Solve for x
    x = 54,139.41/212.01
  6. Step 6: Final answer
    x = 255.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.