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Finding the Fourth Proportional to 395.53, 593.26 and 121.60

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Solution

The fourth proportional to 395.53, 593.26 and 121.60 is: 182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.53 : 593.26 = 121.60 : x
  2. Step 2: Convert to fraction form
    395.53/593.26 = 121.60/x
  3. Step 3: Cross multiply
    395.53x = 593.26 × 121.60
  4. Step 4: Simplify right side
    395.53x = 72,140.42
  5. Step 5: Solve for x
    x = 72,140.42/395.53
  6. Step 6: Final answer
    x = 182.39

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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.