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Finding the Fourth Proportional to 344.15, 476.96 and 337.67

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Solution

The fourth proportional to 344.15, 476.96 and 337.67 is: 467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.15 : 476.96 = 337.67 : x
  2. Step 2: Convert to fraction form
    344.15/476.96 = 337.67/x
  3. Step 3: Cross multiply
    344.15x = 476.96 × 337.67
  4. Step 4: Simplify right side
    344.15x = 161,053.54
  5. Step 5: Solve for x
    x = 161,053.54/344.15
  6. Step 6: Final answer
    x = 467.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.