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Finding the Fourth Proportional to 306.51, 422.98 and 201.53

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Solution

The fourth proportional to 306.51, 422.98 and 201.53 is: 278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.51 : 422.98 = 201.53 : x
  2. Step 2: Convert to fraction form
    306.51/422.98 = 201.53/x
  3. Step 3: Cross multiply
    306.51x = 422.98 × 201.53
  4. Step 4: Simplify right side
    306.51x = 85,243.16
  5. Step 5: Solve for x
    x = 85,243.16/306.51
  6. Step 6: Final answer
    x = 278.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.