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Finding the Fourth Proportional to 347.99, 522.53 and 218.19

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Solution

The fourth proportional to 347.99, 522.53 and 218.19 is: 327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.99 : 522.53 = 218.19 : x
  2. Step 2: Convert to fraction form
    347.99/522.53 = 218.19/x
  3. Step 3: Cross multiply
    347.99x = 522.53 × 218.19
  4. Step 4: Simplify right side
    347.99x = 114,009.73
  5. Step 5: Solve for x
    x = 114,009.73/347.99
  6. Step 6: Final answer
    x = 327.63

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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.