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Finding the Fourth Proportional to 213.16, 321.52 and 200.51

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Solution

The fourth proportional to 213.16, 321.52 and 200.51 is: 302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.16 : 321.52 = 200.51 : x
  2. Step 2: Convert to fraction form
    213.16/321.52 = 200.51/x
  3. Step 3: Cross multiply
    213.16x = 321.52 × 200.51
  4. Step 4: Simplify right side
    213.16x = 64,468.80
  5. Step 5: Solve for x
    x = 64,468.80/213.16
  6. Step 6: Final answer
    x = 302.45

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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.