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Finding the Fourth Proportional to 404.60, 605.98 and 231.00

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Solution

The fourth proportional to 404.60, 605.98 and 231.00 is: 345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.60 : 605.98 = 231.00 : x
  2. Step 2: Convert to fraction form
    404.60/605.98 = 231.00/x
  3. Step 3: Cross multiply
    404.60x = 605.98 × 231.00
  4. Step 4: Simplify right side
    404.60x = 139,982.80
  5. Step 5: Solve for x
    x = 139,982.80/404.60
  6. Step 6: Final answer
    x = 345.98

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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.