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Finding the Fourth Proportional to 343.03, 512.40 and 226.51

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Solution

The fourth proportional to 343.03, 512.40 and 226.51 is: 338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.03 : 512.40 = 226.51 : x
  2. Step 2: Convert to fraction form
    343.03/512.40 = 226.51/x
  3. Step 3: Cross multiply
    343.03x = 512.40 × 226.51
  4. Step 4: Simplify right side
    343.03x = 116,063.16
  5. Step 5: Solve for x
    x = 116,063.16/343.03
  6. Step 6: Final answer
    x = 338.35

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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.