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Finding the Fourth Proportional to 354.35, 531.67 and 192.14

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Solution

The fourth proportional to 354.35, 531.67 and 192.14 is: 288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.35 : 531.67 = 192.14 : x
  2. Step 2: Convert to fraction form
    354.35/531.67 = 192.14/x
  3. Step 3: Cross multiply
    354.35x = 531.67 × 192.14
  4. Step 4: Simplify right side
    354.35x = 102,155.07
  5. Step 5: Solve for x
    x = 102,155.07/354.35
  6. Step 6: Final answer
    x = 288.29

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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.