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Finding the Fourth Proportional to 406.26, 608.86 and 296.56

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Solution

The fourth proportional to 406.26, 608.86 and 296.56 is: 444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.26 : 608.86 = 296.56 : x
  2. Step 2: Convert to fraction form
    406.26/608.86 = 296.56/x
  3. Step 3: Cross multiply
    406.26x = 608.86 × 296.56
  4. Step 4: Simplify right side
    406.26x = 180,563.52
  5. Step 5: Solve for x
    x = 180,563.52/406.26
  6. Step 6: Final answer
    x = 444.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.