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Finding the Fourth Proportional to 347.43, 520.90 and 164.73

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Solution

The fourth proportional to 347.43, 520.90 and 164.73 is: 246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.43 : 520.90 = 164.73 : x
  2. Step 2: Convert to fraction form
    347.43/520.90 = 164.73/x
  3. Step 3: Cross multiply
    347.43x = 520.90 × 164.73
  4. Step 4: Simplify right side
    347.43x = 85,807.86
  5. Step 5: Solve for x
    x = 85,807.86/347.43
  6. Step 6: Final answer
    x = 246.98

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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.