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Finding the Fourth Proportional to 395.45, 593.06 and 117.86

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Solution

The fourth proportional to 395.45, 593.06 and 117.86 is: 176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.45 : 593.06 = 117.86 : x
  2. Step 2: Convert to fraction form
    395.45/593.06 = 117.86/x
  3. Step 3: Cross multiply
    395.45x = 593.06 × 117.86
  4. Step 4: Simplify right side
    395.45x = 69,894.50
  5. Step 5: Solve for x
    x = 69,894.50/395.45
  6. Step 6: Final answer
    x = 176.75

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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.