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Finding the Fourth Proportional to 413.00, 570.05 and 238.31

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Solution

The fourth proportional to 413.00, 570.05 and 238.31 is: 328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.00 : 570.05 = 238.31 : x
  2. Step 2: Convert to fraction form
    413.00/570.05 = 238.31/x
  3. Step 3: Cross multiply
    413.00x = 570.05 × 238.31
  4. Step 4: Simplify right side
    413.00x = 135,848.95
  5. Step 5: Solve for x
    x = 135,848.95/413.00
  6. Step 6: Final answer
    x = 328.93

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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.