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Finding the Fourth Proportional to 296.24, 406.64 and 259.28

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Solution

The fourth proportional to 296.24, 406.64 and 259.28 is: 355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.24 : 406.64 = 259.28 : x
  2. Step 2: Convert to fraction form
    296.24/406.64 = 259.28/x
  3. Step 3: Cross multiply
    296.24x = 406.64 × 259.28
  4. Step 4: Simplify right side
    296.24x = 105,433.62
  5. Step 5: Solve for x
    x = 105,433.62/296.24
  6. Step 6: Final answer
    x = 355.91

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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.