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Finding the Fourth Proportional to 296.76, 406.41 and 296.49

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Solution

The fourth proportional to 296.76, 406.41 and 296.49 is: 406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.76 : 406.41 = 296.49 : x
  2. Step 2: Convert to fraction form
    296.76/406.41 = 296.49/x
  3. Step 3: Cross multiply
    296.76x = 406.41 × 296.49
  4. Step 4: Simplify right side
    296.76x = 120,496.50
  5. Step 5: Solve for x
    x = 120,496.50/296.76
  6. Step 6: Final answer
    x = 406.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.