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Finding the Fourth Proportional to 296.34, 408.75 and 192.84

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Solution

The fourth proportional to 296.34, 408.75 and 192.84 is: 265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.34 : 408.75 = 192.84 : x
  2. Step 2: Convert to fraction form
    296.34/408.75 = 192.84/x
  3. Step 3: Cross multiply
    296.34x = 408.75 × 192.84
  4. Step 4: Simplify right side
    296.34x = 78,823.35
  5. Step 5: Solve for x
    x = 78,823.35/296.34
  6. Step 6: Final answer
    x = 265.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.