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Finding the Fourth Proportional to 413.66, 570.84 and 239

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Solution

The fourth proportional to 413.66, 570.84 and 239 is: 329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 570.84 = 239 : x
  2. Step 2: Convert to fraction form
    413.66/570.84 = 239/x
  3. Step 3: Cross multiply
    413.66x = 570.84 × 239
  4. Step 4: Simplify right side
    413.66x = 136,430.76
  5. Step 5: Solve for x
    x = 136,430.76/413.66
  6. Step 6: Final answer
    x = 329.81

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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.