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Finding the Fourth Proportional to 393.15, 541.30 and 334.02

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Solution

The fourth proportional to 393.15, 541.30 and 334.02 is: 459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.15 : 541.30 = 334.02 : x
  2. Step 2: Convert to fraction form
    393.15/541.30 = 334.02/x
  3. Step 3: Cross multiply
    393.15x = 541.30 × 334.02
  4. Step 4: Simplify right side
    393.15x = 180,805.03
  5. Step 5: Solve for x
    x = 180,805.03/393.15
  6. Step 6: Final answer
    x = 459.89

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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.