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Finding the Fourth Proportional to 395.81, 596.28 and 361.98

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Solution

The fourth proportional to 395.81, 596.28 and 361.98 is: 545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.81 : 596.28 = 361.98 : x
  2. Step 2: Convert to fraction form
    395.81/596.28 = 361.98/x
  3. Step 3: Cross multiply
    395.81x = 596.28 × 361.98
  4. Step 4: Simplify right side
    395.81x = 215,842.79
  5. Step 5: Solve for x
    x = 215,842.79/395.81
  6. Step 6: Final answer
    x = 545.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.