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Finding the Fourth Proportional to 413.68, 570.49 and 309.02

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Solution

The fourth proportional to 413.68, 570.49 and 309.02 is: 426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.68 : 570.49 = 309.02 : x
  2. Step 2: Convert to fraction form
    413.68/570.49 = 309.02/x
  3. Step 3: Cross multiply
    413.68x = 570.49 × 309.02
  4. Step 4: Simplify right side
    413.68x = 176,292.82
  5. Step 5: Solve for x
    x = 176,292.82/413.68
  6. Step 6: Final answer
    x = 426.16

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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.