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Finding the Fourth Proportional to 500.45, 750.09 and 192.14

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Solution

The fourth proportional to 500.45, 750.09 and 192.14 is: 287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.45 : 750.09 = 192.14 : x
  2. Step 2: Convert to fraction form
    500.45/750.09 = 192.14/x
  3. Step 3: Cross multiply
    500.45x = 750.09 × 192.14
  4. Step 4: Simplify right side
    500.45x = 144,122.08
  5. Step 5: Solve for x
    x = 144,122.08/500.45
  6. Step 6: Final answer
    x = 287.99

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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.