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Finding the Fourth Proportional to 413.39, 570.21 and 330.45

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Solution

The fourth proportional to 413.39, 570.21 and 330.45 is: 455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.39 : 570.21 = 330.45 : x
  2. Step 2: Convert to fraction form
    413.39/570.21 = 330.45/x
  3. Step 3: Cross multiply
    413.39x = 570.21 × 330.45
  4. Step 4: Simplify right side
    413.39x = 188,425.89
  5. Step 5: Solve for x
    x = 188,425.89/413.39
  6. Step 6: Final answer
    x = 455.81

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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.