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Finding the Fourth Proportional to 458.32, 631.58 and 327.10

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Solution

The fourth proportional to 458.32, 631.58 and 327.10 is: 450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.32 : 631.58 = 327.10 : x
  2. Step 2: Convert to fraction form
    458.32/631.58 = 327.10/x
  3. Step 3: Cross multiply
    458.32x = 631.58 × 327.10
  4. Step 4: Simplify right side
    458.32x = 206,589.82
  5. Step 5: Solve for x
    x = 206,589.82/458.32
  6. Step 6: Final answer
    x = 450.75

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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.