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Finding the Fourth Proportional to 292.91, 439.07 and 190.23

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Solution

The fourth proportional to 292.91, 439.07 and 190.23 is: 285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.91 : 439.07 = 190.23 : x
  2. Step 2: Convert to fraction form
    292.91/439.07 = 190.23/x
  3. Step 3: Cross multiply
    292.91x = 439.07 × 190.23
  4. Step 4: Simplify right side
    292.91x = 83,523.33
  5. Step 5: Solve for x
    x = 83,523.33/292.91
  6. Step 6: Final answer
    x = 285.16

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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.