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Finding the Fourth Proportional to 413.46, 570.81 and 309.12

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Solution

The fourth proportional to 413.46, 570.81 and 309.12 is: 426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.46 : 570.81 = 309.12 : x
  2. Step 2: Convert to fraction form
    413.46/570.81 = 309.12/x
  3. Step 3: Cross multiply
    413.46x = 570.81 × 309.12
  4. Step 4: Simplify right side
    413.46x = 176,448.79
  5. Step 5: Solve for x
    x = 176,448.79/413.46
  6. Step 6: Final answer
    x = 426.76

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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.