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Finding the Fourth Proportional to 354.62, 532 and 192.49

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Solution

The fourth proportional to 354.62, 532 and 192.49 is: 288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.62 : 532 = 192.49 : x
  2. Step 2: Convert to fraction form
    354.62/532 = 192.49/x
  3. Step 3: Cross multiply
    354.62x = 532 × 192.49
  4. Step 4: Simplify right side
    354.62x = 102,404.68
  5. Step 5: Solve for x
    x = 102,404.68/354.62
  6. Step 6: Final answer
    x = 288.77

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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.