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Finding the Fourth Proportional to 458.56, 632.82 and 311.44

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Solution

The fourth proportional to 458.56, 632.82 and 311.44 is: 429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.56 : 632.82 = 311.44 : x
  2. Step 2: Convert to fraction form
    458.56/632.82 = 311.44/x
  3. Step 3: Cross multiply
    458.56x = 632.82 × 311.44
  4. Step 4: Simplify right side
    458.56x = 197,085.46
  5. Step 5: Solve for x
    x = 197,085.46/458.56
  6. Step 6: Final answer
    x = 429.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.