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Finding the Fourth Proportional to 404.47, 605.74 and 340.15

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Solution

The fourth proportional to 404.47, 605.74 and 340.15 is: 509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.47 : 605.74 = 340.15 : x
  2. Step 2: Convert to fraction form
    404.47/605.74 = 340.15/x
  3. Step 3: Cross multiply
    404.47x = 605.74 × 340.15
  4. Step 4: Simplify right side
    404.47x = 206,042.46
  5. Step 5: Solve for x
    x = 206,042.46/404.47
  6. Step 6: Final answer
    x = 509.41

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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.