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Finding the Fourth Proportional to 347.31, 518.19 and 289.89

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Solution

The fourth proportional to 347.31, 518.19 and 289.89 is: 432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.31 : 518.19 = 289.89 : x
  2. Step 2: Convert to fraction form
    347.31/518.19 = 289.89/x
  3. Step 3: Cross multiply
    347.31x = 518.19 × 289.89
  4. Step 4: Simplify right side
    347.31x = 150,218.10
  5. Step 5: Solve for x
    x = 150,218.10/347.31
  6. Step 6: Final answer
    x = 432.52

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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.