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Finding the Fourth Proportional to 422.47, 632.94 and 205.57

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Solution

The fourth proportional to 422.47, 632.94 and 205.57 is: 307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.47 : 632.94 = 205.57 : x
  2. Step 2: Convert to fraction form
    422.47/632.94 = 205.57/x
  3. Step 3: Cross multiply
    422.47x = 632.94 × 205.57
  4. Step 4: Simplify right side
    422.47x = 130,113.48
  5. Step 5: Solve for x
    x = 130,113.48/422.47
  6. Step 6: Final answer
    x = 307.98

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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.