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Finding the Fourth Proportional to 344.03, 513.82 and 311.46

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Solution

The fourth proportional to 344.03, 513.82 and 311.46 is: 465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.03 : 513.82 = 311.46 : x
  2. Step 2: Convert to fraction form
    344.03/513.82 = 311.46/x
  3. Step 3: Cross multiply
    344.03x = 513.82 × 311.46
  4. Step 4: Simplify right side
    344.03x = 160,035.66
  5. Step 5: Solve for x
    x = 160,035.66/344.03
  6. Step 6: Final answer
    x = 465.18

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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.