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Finding the Fourth Proportional to 458.32, 631.72 and 325.38

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Solution

The fourth proportional to 458.32, 631.72 and 325.38 is: 448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.32 : 631.72 = 325.38 : x
  2. Step 2: Convert to fraction form
    458.32/631.72 = 325.38/x
  3. Step 3: Cross multiply
    458.32x = 631.72 × 325.38
  4. Step 4: Simplify right side
    458.32x = 205,549.05
  5. Step 5: Solve for x
    x = 205,549.05/458.32
  6. Step 6: Final answer
    x = 448.48

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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.