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Finding the Fourth Proportional to 422.81, 632.51 and 365.64

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Solution

The fourth proportional to 422.81, 632.51 and 365.64 is: 546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.81 : 632.51 = 365.64 : x
  2. Step 2: Convert to fraction form
    422.81/632.51 = 365.64/x
  3. Step 3: Cross multiply
    422.81x = 632.51 × 365.64
  4. Step 4: Simplify right side
    422.81x = 231,270.96
  5. Step 5: Solve for x
    x = 231,270.96/422.81
  6. Step 6: Final answer
    x = 546.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.