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Finding the Fourth Proportional to 348.24, 522.64 and 218.40

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Solution

The fourth proportional to 348.24, 522.64 and 218.40 is: 327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.24 : 522.64 = 218.40 : x
  2. Step 2: Convert to fraction form
    348.24/522.64 = 218.40/x
  3. Step 3: Cross multiply
    348.24x = 522.64 × 218.40
  4. Step 4: Simplify right side
    348.24x = 114,144.58
  5. Step 5: Solve for x
    x = 114,144.58/348.24
  6. Step 6: Final answer
    x = 327.78

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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.