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Finding the Fourth Proportional to 214.05, 322.35 and 201.90

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Solution

The fourth proportional to 214.05, 322.35 and 201.90 is: 304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.05 : 322.35 = 201.90 : x
  2. Step 2: Convert to fraction form
    214.05/322.35 = 201.90/x
  3. Step 3: Cross multiply
    214.05x = 322.35 × 201.90
  4. Step 4: Simplify right side
    214.05x = 65,082.47
  5. Step 5: Solve for x
    x = 65,082.47/214.05
  6. Step 6: Final answer
    x = 304.05

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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.