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Finding the Fourth Proportional to 395.09, 592.47 and 189.61

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Solution

The fourth proportional to 395.09, 592.47 and 189.61 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.09 : 592.47 = 189.61 : x
  2. Step 2: Convert to fraction form
    395.09/592.47 = 189.61/x
  3. Step 3: Cross multiply
    395.09x = 592.47 × 189.61
  4. Step 4: Simplify right side
    395.09x = 112,338.24
  5. Step 5: Solve for x
    x = 112,338.24/395.09
  6. Step 6: Final answer
    x = 284.34

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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.