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Finding the Fourth Proportional to 346.91, 520.43 and 138.62

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Solution

The fourth proportional to 346.91, 520.43 and 138.62 is: 207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.91 : 520.43 = 138.62 : x
  2. Step 2: Convert to fraction form
    346.91/520.43 = 138.62/x
  3. Step 3: Cross multiply
    346.91x = 520.43 × 138.62
  4. Step 4: Simplify right side
    346.91x = 72,142.01
  5. Step 5: Solve for x
    x = 72,142.01/346.91
  6. Step 6: Final answer
    x = 207.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.