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Finding the Fourth Proportional to 422.18, 632.58 and 257.46

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Solution

The fourth proportional to 422.18, 632.58 and 257.46 is: 385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.18 : 632.58 = 257.46 : x
  2. Step 2: Convert to fraction form
    422.18/632.58 = 257.46/x
  3. Step 3: Cross multiply
    422.18x = 632.58 × 257.46
  4. Step 4: Simplify right side
    422.18x = 162,864.05
  5. Step 5: Solve for x
    x = 162,864.05/422.18
  6. Step 6: Final answer
    x = 385.77

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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.