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Finding the Fourth Proportional to 401.67, 605.60 and 321.48

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Solution

The fourth proportional to 401.67, 605.60 and 321.48 is: 484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.67 : 605.60 = 321.48 : x
  2. Step 2: Convert to fraction form
    401.67/605.60 = 321.48/x
  3. Step 3: Cross multiply
    401.67x = 605.60 × 321.48
  4. Step 4: Simplify right side
    401.67x = 194,685.26
  5. Step 5: Solve for x
    x = 194,685.26/401.67
  6. Step 6: Final answer
    x = 484.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.