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Finding the Fourth Proportional to 413.14, 571.17 and 309.46

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Solution

The fourth proportional to 413.14, 571.17 and 309.46 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 571.17 = 309.46 : x
  2. Step 2: Convert to fraction form
    413.14/571.17 = 309.46/x
  3. Step 3: Cross multiply
    413.14x = 571.17 × 309.46
  4. Step 4: Simplify right side
    413.14x = 176,754.27
  5. Step 5: Solve for x
    x = 176,754.27/413.14
  6. Step 6: Final answer
    x = 427.83

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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.