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Finding the Fourth Proportional to 363.56, 541.92 and 334.40

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Solution

The fourth proportional to 363.56, 541.92 and 334.40 is: 498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.56 : 541.92 = 334.40 : x
  2. Step 2: Convert to fraction form
    363.56/541.92 = 334.40/x
  3. Step 3: Cross multiply
    363.56x = 541.92 × 334.40
  4. Step 4: Simplify right side
    363.56x = 181,216.38
  5. Step 5: Solve for x
    x = 181,216.38/363.56
  6. Step 6: Final answer
    x = 498.45

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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.