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Finding the Fourth Proportional to 229.60, 343.95 and 138.03

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Solution

The fourth proportional to 229.60, 343.95 and 138.03 is: 206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.60 : 343.95 = 138.03 : x
  2. Step 2: Convert to fraction form
    229.60/343.95 = 138.03/x
  3. Step 3: Cross multiply
    229.60x = 343.95 × 138.03
  4. Step 4: Simplify right side
    229.60x = 47,475.42
  5. Step 5: Solve for x
    x = 47,475.42/229.60
  6. Step 6: Final answer
    x = 206.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.