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Finding the Fourth Proportional to 343.56, 512.34 and 300.42

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Solution

The fourth proportional to 343.56, 512.34 and 300.42 is: 448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.56 : 512.34 = 300.42 : x
  2. Step 2: Convert to fraction form
    343.56/512.34 = 300.42/x
  3. Step 3: Cross multiply
    343.56x = 512.34 × 300.42
  4. Step 4: Simplify right side
    343.56x = 153,917.18
  5. Step 5: Solve for x
    x = 153,917.18/343.56
  6. Step 6: Final answer
    x = 448.01

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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.