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Finding the Fourth Proportional to 401.75, 601.66 and 195.81

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Solution

The fourth proportional to 401.75, 601.66 and 195.81 is: 293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.75 : 601.66 = 195.81 : x
  2. Step 2: Convert to fraction form
    401.75/601.66 = 195.81/x
  3. Step 3: Cross multiply
    401.75x = 601.66 × 195.81
  4. Step 4: Simplify right side
    401.75x = 117,810.07
  5. Step 5: Solve for x
    x = 117,810.07/401.75
  6. Step 6: Final answer
    x = 293.24

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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.