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Finding the Fourth Proportional to 346.05, 478.41 and 331.47

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Solution

The fourth proportional to 346.05, 478.41 and 331.47 is: 458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.05 : 478.41 = 331.47 : x
  2. Step 2: Convert to fraction form
    346.05/478.41 = 331.47/x
  3. Step 3: Cross multiply
    346.05x = 478.41 × 331.47
  4. Step 4: Simplify right side
    346.05x = 158,578.56
  5. Step 5: Solve for x
    x = 158,578.56/346.05
  6. Step 6: Final answer
    x = 458.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.