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Finding the Fourth Proportional to 347.49, 520.43 and 286.47

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Solution

The fourth proportional to 347.49, 520.43 and 286.47 is: 429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.49 : 520.43 = 286.47 : x
  2. Step 2: Convert to fraction form
    347.49/520.43 = 286.47/x
  3. Step 3: Cross multiply
    347.49x = 520.43 × 286.47
  4. Step 4: Simplify right side
    347.49x = 149,086.15
  5. Step 5: Solve for x
    x = 149,086.15/347.49
  6. Step 6: Final answer
    x = 429.04

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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.