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Finding the Fourth Proportional to 401.85, 601.92 and 209.07

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Solution

The fourth proportional to 401.85, 601.92 and 209.07 is: 313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.85 : 601.92 = 209.07 : x
  2. Step 2: Convert to fraction form
    401.85/601.92 = 209.07/x
  3. Step 3: Cross multiply
    401.85x = 601.92 × 209.07
  4. Step 4: Simplify right side
    401.85x = 125,843.41
  5. Step 5: Solve for x
    x = 125,843.41/401.85
  6. Step 6: Final answer
    x = 313.16

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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.