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Finding the Fourth Proportional to 296.78, 409.56 and 165.80

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Solution

The fourth proportional to 296.78, 409.56 and 165.80 is: 228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.78 : 409.56 = 165.80 : x
  2. Step 2: Convert to fraction form
    296.78/409.56 = 165.80/x
  3. Step 3: Cross multiply
    296.78x = 409.56 × 165.80
  4. Step 4: Simplify right side
    296.78x = 67,905.05
  5. Step 5: Solve for x
    x = 67,905.05/296.78
  6. Step 6: Final answer
    x = 228.81

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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.