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Finding the Fourth Proportional to 451.96, 623.28 and 321.40

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Solution

The fourth proportional to 451.96, 623.28 and 321.40 is: 443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.96 : 623.28 = 321.40 : x
  2. Step 2: Convert to fraction form
    451.96/623.28 = 321.40/x
  3. Step 3: Cross multiply
    451.96x = 623.28 × 321.40
  4. Step 4: Simplify right side
    451.96x = 200,322.19
  5. Step 5: Solve for x
    x = 200,322.19/451.96
  6. Step 6: Final answer
    x = 443.23

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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.