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Finding the Fourth Proportional to 348.80, 522.24 and 288.20

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Solution

The fourth proportional to 348.80, 522.24 and 288.20 is: 431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.80 : 522.24 = 288.20 : x
  2. Step 2: Convert to fraction form
    348.80/522.24 = 288.20/x
  3. Step 3: Cross multiply
    348.80x = 522.24 × 288.20
  4. Step 4: Simplify right side
    348.80x = 150,509.57
  5. Step 5: Solve for x
    x = 150,509.57/348.80
  6. Step 6: Final answer
    x = 431.51

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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.