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Finding the Fourth Proportional to 230.28, 343.71 and 202.94

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Solution

The fourth proportional to 230.28, 343.71 and 202.94 is: 302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.28 : 343.71 = 202.94 : x
  2. Step 2: Convert to fraction form
    230.28/343.71 = 202.94/x
  3. Step 3: Cross multiply
    230.28x = 343.71 × 202.94
  4. Step 4: Simplify right side
    230.28x = 69,752.08
  5. Step 5: Solve for x
    x = 69,752.08/230.28
  6. Step 6: Final answer
    x = 302.91

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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.