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Finding the Fourth Proportional to 212.10, 319.77 and 200.34

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Solution

The fourth proportional to 212.10, 319.77 and 200.34 is: 302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.10 : 319.77 = 200.34 : x
  2. Step 2: Convert to fraction form
    212.10/319.77 = 200.34/x
  3. Step 3: Cross multiply
    212.10x = 319.77 × 200.34
  4. Step 4: Simplify right side
    212.10x = 64,062.72
  5. Step 5: Solve for x
    x = 64,062.72/212.10
  6. Step 6: Final answer
    x = 302.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.