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Finding the Fourth Proportional to 347.10, 518.31 and 301.56

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Solution

The fourth proportional to 347.10, 518.31 and 301.56 is: 450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.10 : 518.31 = 301.56 : x
  2. Step 2: Convert to fraction form
    347.10/518.31 = 301.56/x
  3. Step 3: Cross multiply
    347.10x = 518.31 × 301.56
  4. Step 4: Simplify right side
    347.10x = 156,301.56
  5. Step 5: Solve for x
    x = 156,301.56/347.10
  6. Step 6: Final answer
    x = 450.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.