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Finding the Fourth Proportional to 347.23, 520.72 and 116.07

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Solution

The fourth proportional to 347.23, 520.72 and 116.07 is: 174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.23 : 520.72 = 116.07 : x
  2. Step 2: Convert to fraction form
    347.23/520.72 = 116.07/x
  3. Step 3: Cross multiply
    347.23x = 520.72 × 116.07
  4. Step 4: Simplify right side
    347.23x = 60,438.05
  5. Step 5: Solve for x
    x = 60,438.05/347.23
  6. Step 6: Final answer
    x = 174.06

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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.