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Finding the Fourth Proportional to 413.74, 570.90 and 239.10

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Solution

The fourth proportional to 413.74, 570.90 and 239.10 is: 329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.74 : 570.90 = 239.10 : x
  2. Step 2: Convert to fraction form
    413.74/570.90 = 239.10/x
  3. Step 3: Cross multiply
    413.74x = 570.90 × 239.10
  4. Step 4: Simplify right side
    413.74x = 136,502.19
  5. Step 5: Solve for x
    x = 136,502.19/413.74
  6. Step 6: Final answer
    x = 329.92

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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.