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Finding the Fourth Proportional to 451.28, 621.96 and 334.64

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Solution

The fourth proportional to 451.28, 621.96 and 334.64 is: 461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.28 : 621.96 = 334.64 : x
  2. Step 2: Convert to fraction form
    451.28/621.96 = 334.64/x
  3. Step 3: Cross multiply
    451.28x = 621.96 × 334.64
  4. Step 4: Simplify right side
    451.28x = 208,132.69
  5. Step 5: Solve for x
    x = 208,132.69/451.28
  6. Step 6: Final answer
    x = 461.21

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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.