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Finding the Fourth Proportional to 458.58, 632.46 and 311.16

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Solution

The fourth proportional to 458.58, 632.46 and 311.16 is: 429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.58 : 632.46 = 311.16 : x
  2. Step 2: Convert to fraction form
    458.58/632.46 = 311.16/x
  3. Step 3: Cross multiply
    458.58x = 632.46 × 311.16
  4. Step 4: Simplify right side
    458.58x = 196,796.25
  5. Step 5: Solve for x
    x = 196,796.25/458.58
  6. Step 6: Final answer
    x = 429.14

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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.