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Finding the Fourth Proportional to 343.92, 513.06 and 307.44

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Solution

The fourth proportional to 343.92, 513.06 and 307.44 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.92 : 513.06 = 307.44 : x
  2. Step 2: Convert to fraction form
    343.92/513.06 = 307.44/x
  3. Step 3: Cross multiply
    343.92x = 513.06 × 307.44
  4. Step 4: Simplify right side
    343.92x = 157,735.17
  5. Step 5: Solve for x
    x = 157,735.17/343.92
  6. Step 6: Final answer
    x = 458.64

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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.