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Finding the Fourth Proportional to 413.61, 569.81 and 265.99

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Solution

The fourth proportional to 413.61, 569.81 and 265.99 is: 366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.61 : 569.81 = 265.99 : x
  2. Step 2: Convert to fraction form
    413.61/569.81 = 265.99/x
  3. Step 3: Cross multiply
    413.61x = 569.81 × 265.99
  4. Step 4: Simplify right side
    413.61x = 151,563.00
  5. Step 5: Solve for x
    x = 151,563.00/413.61
  6. Step 6: Final answer
    x = 366.44

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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.