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Finding the Fourth Proportional to 413.15, 569.34 and 281.93

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Solution

The fourth proportional to 413.15, 569.34 and 281.93 is: 388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.15 : 569.34 = 281.93 : x
  2. Step 2: Convert to fraction form
    413.15/569.34 = 281.93/x
  3. Step 3: Cross multiply
    413.15x = 569.34 × 281.93
  4. Step 4: Simplify right side
    413.15x = 160,511.18
  5. Step 5: Solve for x
    x = 160,511.18/413.15
  6. Step 6: Final answer
    x = 388.51

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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.