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Finding the Fourth Proportional to 334.38, 499.04 and 325.74

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Solution

The fourth proportional to 334.38, 499.04 and 325.74 is: 486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.38 : 499.04 = 325.74 : x
  2. Step 2: Convert to fraction form
    334.38/499.04 = 325.74/x
  3. Step 3: Cross multiply
    334.38x = 499.04 × 325.74
  4. Step 4: Simplify right side
    334.38x = 162,555.66
  5. Step 5: Solve for x
    x = 162,555.66/334.38
  6. Step 6: Final answer
    x = 486.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.