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Finding the Fourth Proportional to 401.67, 601.41 and 208.89

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Solution

The fourth proportional to 401.67, 601.41 and 208.89 is: 312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.67 : 601.41 = 208.89 : x
  2. Step 2: Convert to fraction form
    401.67/601.41 = 208.89/x
  3. Step 3: Cross multiply
    401.67x = 601.41 × 208.89
  4. Step 4: Simplify right side
    401.67x = 125,628.53
  5. Step 5: Solve for x
    x = 125,628.53/401.67
  6. Step 6: Final answer
    x = 312.77

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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.