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Finding the Fourth Proportional to 404.14, 605.75 and 362.91

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Solution

The fourth proportional to 404.14, 605.75 and 362.91 is: 543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.14 : 605.75 = 362.91 : x
  2. Step 2: Convert to fraction form
    404.14/605.75 = 362.91/x
  3. Step 3: Cross multiply
    404.14x = 605.75 × 362.91
  4. Step 4: Simplify right side
    404.14x = 219,831.14
  5. Step 5: Solve for x
    x = 219,831.14/404.14
  6. Step 6: Final answer
    x = 543.95

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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.