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Finding the Fourth Proportional to 395.06, 592.47 and 138.50

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Solution

The fourth proportional to 395.06, 592.47 and 138.50 is: 207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.06 : 592.47 = 138.50 : x
  2. Step 2: Convert to fraction form
    395.06/592.47 = 138.50/x
  3. Step 3: Cross multiply
    395.06x = 592.47 × 138.50
  4. Step 4: Simplify right side
    395.06x = 82,057.10
  5. Step 5: Solve for x
    x = 82,057.10/395.06
  6. Step 6: Final answer
    x = 207.71

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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.