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Finding the Fourth Proportional to 395.60, 592.22 and 292.19

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Solution

The fourth proportional to 395.60, 592.22 and 292.19 is: 437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 592.22 = 292.19 : x
  2. Step 2: Convert to fraction form
    395.60/592.22 = 292.19/x
  3. Step 3: Cross multiply
    395.60x = 592.22 × 292.19
  4. Step 4: Simplify right side
    395.60x = 173,042.97
  5. Step 5: Solve for x
    x = 173,042.97/395.60
  6. Step 6: Final answer
    x = 437.42

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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.