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Finding the Fourth Proportional to 395.81, 592.97 and 365.98

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Solution

The fourth proportional to 395.81, 592.97 and 365.98 is: 548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.81 : 592.97 = 365.98 : x
  2. Step 2: Convert to fraction form
    395.81/592.97 = 365.98/x
  3. Step 3: Cross multiply
    395.81x = 592.97 × 365.98
  4. Step 4: Simplify right side
    395.81x = 217,014.59
  5. Step 5: Solve for x
    x = 217,014.59/395.81
  6. Step 6: Final answer
    x = 548.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.