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Finding the Fourth Proportional to 393.63, 544.10 and 364.47

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Solution

The fourth proportional to 393.63, 544.10 and 364.47 is: 503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.63 : 544.10 = 364.47 : x
  2. Step 2: Convert to fraction form
    393.63/544.10 = 364.47/x
  3. Step 3: Cross multiply
    393.63x = 544.10 × 364.47
  4. Step 4: Simplify right side
    393.63x = 198,306.30
  5. Step 5: Solve for x
    x = 198,306.30/393.63
  6. Step 6: Final answer
    x = 503.79

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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.