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Finding the Fourth Proportional to 347.09, 517.33 and 327.63

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Solution

The fourth proportional to 347.09, 517.33 and 327.63 is: 488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.09 : 517.33 = 327.63 : x
  2. Step 2: Convert to fraction form
    347.09/517.33 = 327.63/x
  3. Step 3: Cross multiply
    347.09x = 517.33 × 327.63
  4. Step 4: Simplify right side
    347.09x = 169,491.19
  5. Step 5: Solve for x
    x = 169,491.19/347.09
  6. Step 6: Final answer
    x = 488.32

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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.