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Finding the Fourth Proportional to 413.29, 570.70 and 289.20

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Solution

The fourth proportional to 413.29, 570.70 and 289.20 is: 399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.29 : 570.70 = 289.20 : x
  2. Step 2: Convert to fraction form
    413.29/570.70 = 289.20/x
  3. Step 3: Cross multiply
    413.29x = 570.70 × 289.20
  4. Step 4: Simplify right side
    413.29x = 165,048.94
  5. Step 5: Solve for x
    x = 165,048.94/413.29
  6. Step 6: Final answer
    x = 399.35

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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.