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Finding the Fourth Proportional to 458.22, 631.35 and 333.75

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Solution

The fourth proportional to 458.22, 631.35 and 333.75 is: 459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.22 : 631.35 = 333.75 : x
  2. Step 2: Convert to fraction form
    458.22/631.35 = 333.75/x
  3. Step 3: Cross multiply
    458.22x = 631.35 × 333.75
  4. Step 4: Simplify right side
    458.22x = 210,713.06
  5. Step 5: Solve for x
    x = 210,713.06/458.22
  6. Step 6: Final answer
    x = 459.85

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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.