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Finding the Fourth Proportional to 348.96, 522.60 and 204.36

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Solution

The fourth proportional to 348.96, 522.60 and 204.36 is: 306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.96 : 522.60 = 204.36 : x
  2. Step 2: Convert to fraction form
    348.96/522.60 = 204.36/x
  3. Step 3: Cross multiply
    348.96x = 522.60 × 204.36
  4. Step 4: Simplify right side
    348.96x = 106,798.54
  5. Step 5: Solve for x
    x = 106,798.54/348.96
  6. Step 6: Final answer
    x = 306.05

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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.