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Finding the Fourth Proportional to 296.36, 406.80 and 262.88

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Solution

The fourth proportional to 296.36, 406.80 and 262.88 is: 360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.36 : 406.80 = 262.88 : x
  2. Step 2: Convert to fraction form
    296.36/406.80 = 262.88/x
  3. Step 3: Cross multiply
    296.36x = 406.80 × 262.88
  4. Step 4: Simplify right side
    296.36x = 106,939.58
  5. Step 5: Solve for x
    x = 106,939.58/296.36
  6. Step 6: Final answer
    x = 360.84

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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.