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Finding the Fourth Proportional to 374.38, 513.34 and 337.39

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Solution

The fourth proportional to 374.38, 513.34 and 337.39 is: 462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.38 : 513.34 = 337.39 : x
  2. Step 2: Convert to fraction form
    374.38/513.34 = 337.39/x
  3. Step 3: Cross multiply
    374.38x = 513.34 × 337.39
  4. Step 4: Simplify right side
    374.38x = 173,196.63
  5. Step 5: Solve for x
    x = 173,196.63/374.38
  6. Step 6: Final answer
    x = 462.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.