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Finding the Fourth Proportional to 413.83, 570.99 and 281.07

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Solution

The fourth proportional to 413.83, 570.99 and 281.07 is: 387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.83 : 570.99 = 281.07 : x
  2. Step 2: Convert to fraction form
    413.83/570.99 = 281.07/x
  3. Step 3: Cross multiply
    413.83x = 570.99 × 281.07
  4. Step 4: Simplify right side
    413.83x = 160,488.16
  5. Step 5: Solve for x
    x = 160,488.16/413.83
  6. Step 6: Final answer
    x = 387.81

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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.