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Finding the Fourth Proportional to 213.47, 319.65 and 168.05

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Solution

The fourth proportional to 213.47, 319.65 and 168.05 is: 251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.47 : 319.65 = 168.05 : x
  2. Step 2: Convert to fraction form
    213.47/319.65 = 168.05/x
  3. Step 3: Cross multiply
    213.47x = 319.65 × 168.05
  4. Step 4: Simplify right side
    213.47x = 53,717.18
  5. Step 5: Solve for x
    x = 53,717.18/213.47
  6. Step 6: Final answer
    x = 251.64

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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.