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Finding the Fourth Proportional to 395.41, 593.12 and 106.87

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Solution

The fourth proportional to 395.41, 593.12 and 106.87 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.41 : 593.12 = 106.87 : x
  2. Step 2: Convert to fraction form
    395.41/593.12 = 106.87/x
  3. Step 3: Cross multiply
    395.41x = 593.12 × 106.87
  4. Step 4: Simplify right side
    395.41x = 63,386.20
  5. Step 5: Solve for x
    x = 63,386.20/395.41
  6. Step 6: Final answer
    x = 160.31

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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.