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Finding the Fourth Proportional to 344.66, 513.54 and 337.37

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Solution

The fourth proportional to 344.66, 513.54 and 337.37 is: 502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.66 : 513.54 = 337.37 : x
  2. Step 2: Convert to fraction form
    344.66/513.54 = 337.37/x
  3. Step 3: Cross multiply
    344.66x = 513.54 × 337.37
  4. Step 4: Simplify right side
    344.66x = 173,250.42
  5. Step 5: Solve for x
    x = 173,250.42/344.66
  6. Step 6: Final answer
    x = 502.68

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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.