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Finding the Fourth Proportional to 393.52, 540.70 and 368.24

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Solution

The fourth proportional to 393.52, 540.70 and 368.24 is: 505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.52 : 540.70 = 368.24 : x
  2. Step 2: Convert to fraction form
    393.52/540.70 = 368.24/x
  3. Step 3: Cross multiply
    393.52x = 540.70 × 368.24
  4. Step 4: Simplify right side
    393.52x = 199,107.37
  5. Step 5: Solve for x
    x = 199,107.37/393.52
  6. Step 6: Final answer
    x = 505.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.