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Finding the Fourth Proportional to 413.36, 621.25 and 269.99

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Solution

The fourth proportional to 413.36, 621.25 and 269.99 is: 405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.36 : 621.25 = 269.99 : x
  2. Step 2: Convert to fraction form
    413.36/621.25 = 269.99/x
  3. Step 3: Cross multiply
    413.36x = 621.25 × 269.99
  4. Step 4: Simplify right side
    413.36x = 167,726.83
  5. Step 5: Solve for x
    x = 167,726.83/413.36
  6. Step 6: Final answer
    x = 405.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.