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Finding the Fourth Proportional to 422.16, 632.70 and 202.74

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Solution

The fourth proportional to 422.16, 632.70 and 202.74 is: 303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.16 : 632.70 = 202.74 : x
  2. Step 2: Convert to fraction form
    422.16/632.70 = 202.74/x
  3. Step 3: Cross multiply
    422.16x = 632.70 × 202.74
  4. Step 4: Simplify right side
    422.16x = 128,273.60
  5. Step 5: Solve for x
    x = 128,273.60/422.16
  6. Step 6: Final answer
    x = 303.85

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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.