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Finding the Fourth Proportional to 230.64, 343.74 and 230.28

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Solution

The fourth proportional to 230.64, 343.74 and 230.28 is: 343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.64 : 343.74 = 230.28 : x
  2. Step 2: Convert to fraction form
    230.64/343.74 = 230.28/x
  3. Step 3: Cross multiply
    230.64x = 343.74 × 230.28
  4. Step 4: Simplify right side
    230.64x = 79,156.45
  5. Step 5: Solve for x
    x = 79,156.45/230.64
  6. Step 6: Final answer
    x = 343.20

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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.