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Finding the Fourth Proportional to 300.84, 413.82 and 257.10

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Solution

The fourth proportional to 300.84, 413.82 and 257.10 is: 353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.84 : 413.82 = 257.10 : x
  2. Step 2: Convert to fraction form
    300.84/413.82 = 257.10/x
  3. Step 3: Cross multiply
    300.84x = 413.82 × 257.10
  4. Step 4: Simplify right side
    300.84x = 106,393.12
  5. Step 5: Solve for x
    x = 106,393.12/300.84
  6. Step 6: Final answer
    x = 353.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.