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Finding the Fourth Proportional to 334.32, 460.02 and 324.30

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Solution

The fourth proportional to 334.32, 460.02 and 324.30 is: 446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.32 : 460.02 = 324.30 : x
  2. Step 2: Convert to fraction form
    334.32/460.02 = 324.30/x
  3. Step 3: Cross multiply
    334.32x = 460.02 × 324.30
  4. Step 4: Simplify right side
    334.32x = 149,184.49
  5. Step 5: Solve for x
    x = 149,184.49/334.32
  6. Step 6: Final answer
    x = 446.23

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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.