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Finding the Fourth Proportional to 395.92, 592.80 and 287.92

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Solution

The fourth proportional to 395.92, 592.80 and 287.92 is: 431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.92 : 592.80 = 287.92 : x
  2. Step 2: Convert to fraction form
    395.92/592.80 = 287.92/x
  3. Step 3: Cross multiply
    395.92x = 592.80 × 287.92
  4. Step 4: Simplify right side
    395.92x = 170,678.98
  5. Step 5: Solve for x
    x = 170,678.98/395.92
  6. Step 6: Final answer
    x = 431.09

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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.