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Finding the Fourth Proportional to 214.04, 322.66 and 200.12

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Solution

The fourth proportional to 214.04, 322.66 and 200.12 is: 301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.04 : 322.66 = 200.12 : x
  2. Step 2: Convert to fraction form
    214.04/322.66 = 200.12/x
  3. Step 3: Cross multiply
    214.04x = 322.66 × 200.12
  4. Step 4: Simplify right side
    214.04x = 64,570.72
  5. Step 5: Solve for x
    x = 64,570.72/214.04
  6. Step 6: Final answer
    x = 301.68

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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.