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Finding the Fourth Proportional to 422.01, 632.13 and 275.11

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Solution

The fourth proportional to 422.01, 632.13 and 275.11 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 632.13 = 275.11 : x
  2. Step 2: Convert to fraction form
    422.01/632.13 = 275.11/x
  3. Step 3: Cross multiply
    422.01x = 632.13 × 275.11
  4. Step 4: Simplify right side
    422.01x = 173,904.42
  5. Step 5: Solve for x
    x = 173,904.42/422.01
  6. Step 6: Final answer
    x = 412.08

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