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Finding the Fourth Proportional to 365.46, 544.40 and 344.94

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Solution

The fourth proportional to 365.46, 544.40 and 344.94 is: 513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.46 : 544.40 = 344.94 : x
  2. Step 2: Convert to fraction form
    365.46/544.40 = 344.94/x
  3. Step 3: Cross multiply
    365.46x = 544.40 × 344.94
  4. Step 4: Simplify right side
    365.46x = 187,783.61
  5. Step 5: Solve for x
    x = 187,783.61/365.46
  6. Step 6: Final answer
    x = 513.83

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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.