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Finding the Fourth Proportional to 346.72, 478.41 and 213.83

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Solution

The fourth proportional to 346.72, 478.41 and 213.83 is: 295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.72 : 478.41 = 213.83 : x
  2. Step 2: Convert to fraction form
    346.72/478.41 = 213.83/x
  3. Step 3: Cross multiply
    346.72x = 478.41 × 213.83
  4. Step 4: Simplify right side
    346.72x = 102,297.85
  5. Step 5: Solve for x
    x = 102,297.85/346.72
  6. Step 6: Final answer
    x = 295.05

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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.