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Finding the Fourth Proportional to 309.84, 425.83 and 301.20

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Solution

The fourth proportional to 309.84, 425.83 and 301.20 is: 413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.84 : 425.83 = 301.20 : x
  2. Step 2: Convert to fraction form
    309.84/425.83 = 301.20/x
  3. Step 3: Cross multiply
    309.84x = 425.83 × 301.20
  4. Step 4: Simplify right side
    309.84x = 128,260.00
  5. Step 5: Solve for x
    x = 128,260.00/309.84
  6. Step 6: Final answer
    x = 413.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.