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Finding the Fourth Proportional to 354.83, 532.10 and 192.33

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Solution

The fourth proportional to 354.83, 532.10 and 192.33 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.83 : 532.10 = 192.33 : x
  2. Step 2: Convert to fraction form
    354.83/532.10 = 192.33/x
  3. Step 3: Cross multiply
    354.83x = 532.10 × 192.33
  4. Step 4: Simplify right side
    354.83x = 102,337.83
  5. Step 5: Solve for x
    x = 102,337.83/354.83
  6. Step 6: Final answer
    x = 288.42

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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.