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Finding the Fourth Proportional to 300.17, 413.24 and 258.50

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Solution

The fourth proportional to 300.17, 413.24 and 258.50 is: 355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.17 : 413.24 = 258.50 : x
  2. Step 2: Convert to fraction form
    300.17/413.24 = 258.50/x
  3. Step 3: Cross multiply
    300.17x = 413.24 × 258.50
  4. Step 4: Simplify right side
    300.17x = 106,822.28
  5. Step 5: Solve for x
    x = 106,822.28/300.17
  6. Step 6: Final answer
    x = 355.87

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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.