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Finding the Fourth Proportional to 213.21, 319.70 and 144.66

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Solution

The fourth proportional to 213.21, 319.70 and 144.66 is: 216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.21 : 319.70 = 144.66 : x
  2. Step 2: Convert to fraction form
    213.21/319.70 = 144.66/x
  3. Step 3: Cross multiply
    213.21x = 319.70 × 144.66
  4. Step 4: Simplify right side
    213.21x = 46,247.08
  5. Step 5: Solve for x
    x = 46,247.08/213.21
  6. Step 6: Final answer
    x = 216.91

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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.