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Finding the Fourth Proportional to 296.48, 406.56 and 267.28

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Solution

The fourth proportional to 296.48, 406.56 and 267.28 is: 366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.48 : 406.56 = 267.28 : x
  2. Step 2: Convert to fraction form
    296.48/406.56 = 267.28/x
  3. Step 3: Cross multiply
    296.48x = 406.56 × 267.28
  4. Step 4: Simplify right side
    296.48x = 108,665.36
  5. Step 5: Solve for x
    x = 108,665.36/296.48
  6. Step 6: Final answer
    x = 366.52

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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.