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Finding the Fourth Proportional to 401.26, 601.32 and 209.02

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Solution

The fourth proportional to 401.26, 601.32 and 209.02 is: 313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.26 : 601.32 = 209.02 : x
  2. Step 2: Convert to fraction form
    401.26/601.32 = 209.02/x
  3. Step 3: Cross multiply
    401.26x = 601.32 × 209.02
  4. Step 4: Simplify right side
    401.26x = 125,687.91
  5. Step 5: Solve for x
    x = 125,687.91/401.26
  6. Step 6: Final answer
    x = 313.23

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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.