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Finding the Fourth Proportional to 406.44, 608.31 and 290.52

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Solution

The fourth proportional to 406.44, 608.31 and 290.52 is: 434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.44 : 608.31 = 290.52 : x
  2. Step 2: Convert to fraction form
    406.44/608.31 = 290.52/x
  3. Step 3: Cross multiply
    406.44x = 608.31 × 290.52
  4. Step 4: Simplify right side
    406.44x = 176,726.22
  5. Step 5: Solve for x
    x = 176,726.22/406.44
  6. Step 6: Final answer
    x = 434.82

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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.