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Finding the Fourth Proportional to 458.36, 632.39 and 311.14

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Solution

The fourth proportional to 458.36, 632.39 and 311.14 is: 429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.36 : 632.39 = 311.14 : x
  2. Step 2: Convert to fraction form
    458.36/632.39 = 311.14/x
  3. Step 3: Cross multiply
    458.36x = 632.39 × 311.14
  4. Step 4: Simplify right side
    458.36x = 196,758.66
  5. Step 5: Solve for x
    x = 196,758.66/458.36
  6. Step 6: Final answer
    x = 429.27

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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.