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Finding the Fourth Proportional to 413.75, 570.98 and 239.06

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Solution

The fourth proportional to 413.75, 570.98 and 239.06 is: 329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.75 : 570.98 = 239.06 : x
  2. Step 2: Convert to fraction form
    413.75/570.98 = 239.06/x
  3. Step 3: Cross multiply
    413.75x = 570.98 × 239.06
  4. Step 4: Simplify right side
    413.75x = 136,498.48
  5. Step 5: Solve for x
    x = 136,498.48/413.75
  6. Step 6: Final answer
    x = 329.91

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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.