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Finding the Fourth Proportional to 413.88, 571.39 and 358.53

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Solution

The fourth proportional to 413.88, 571.39 and 358.53 is: 494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.88 : 571.39 = 358.53 : x
  2. Step 2: Convert to fraction form
    413.88/571.39 = 358.53/x
  3. Step 3: Cross multiply
    413.88x = 571.39 × 358.53
  4. Step 4: Simplify right side
    413.88x = 204,857.42
  5. Step 5: Solve for x
    x = 204,857.42/413.88
  6. Step 6: Final answer
    x = 494.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.