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Finding the Fourth Proportional to 395.71, 590.32 and 367.74

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Solution

The fourth proportional to 395.71, 590.32 and 367.74 is: 548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.71 : 590.32 = 367.74 : x
  2. Step 2: Convert to fraction form
    395.71/590.32 = 367.74/x
  3. Step 3: Cross multiply
    395.71x = 590.32 × 367.74
  4. Step 4: Simplify right side
    395.71x = 217,083.36
  5. Step 5: Solve for x
    x = 217,083.36/395.71
  6. Step 6: Final answer
    x = 548.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.