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Finding the Fourth Proportional to 422.22, 632.16 and 383.76

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Solution

The fourth proportional to 422.22, 632.16 and 383.76 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.22 : 632.16 = 383.76 : x
  2. Step 2: Convert to fraction form
    422.22/632.16 = 383.76/x
  3. Step 3: Cross multiply
    422.22x = 632.16 × 383.76
  4. Step 4: Simplify right side
    422.22x = 242,597.72
  5. Step 5: Solve for x
    x = 242,597.72/422.22
  6. Step 6: Final answer
    x = 574.58

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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.