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Finding the Fourth Proportional to 465.11, 642.06 and 299.55

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Solution

The fourth proportional to 465.11, 642.06 and 299.55 is: 413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.11 : 642.06 = 299.55 : x
  2. Step 2: Convert to fraction form
    465.11/642.06 = 299.55/x
  3. Step 3: Cross multiply
    465.11x = 642.06 × 299.55
  4. Step 4: Simplify right side
    465.11x = 192,329.82
  5. Step 5: Solve for x
    x = 192,329.82/465.11
  6. Step 6: Final answer
    x = 413.51

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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.