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Finding the Fourth Proportional to 330, 454.32 and 293.01

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Solution

The fourth proportional to 330, 454.32 and 293.01 is: 403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    330 : 454.32 = 293.01 : x
  2. Step 2: Convert to fraction form
    330/454.32 = 293.01/x
  3. Step 3: Cross multiply
    330x = 454.32 × 293.01
  4. Step 4: Simplify right side
    330x = 133,120.30
  5. Step 5: Solve for x
    x = 133,120.30/330
  6. Step 6: Final answer
    x = 403.39

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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.