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Finding the Fourth Proportional to 230.89, 344.65 and 203.56

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Solution

The fourth proportional to 230.89, 344.65 and 203.56 is: 303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.89 : 344.65 = 203.56 : x
  2. Step 2: Convert to fraction form
    230.89/344.65 = 203.56/x
  3. Step 3: Cross multiply
    230.89x = 344.65 × 203.56
  4. Step 4: Simplify right side
    230.89x = 70,154.21
  5. Step 5: Solve for x
    x = 70,154.21/230.89
  6. Step 6: Final answer
    x = 303.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.