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Finding the Fourth Proportional to 465.61, 642.46 and 299.79

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Solution

The fourth proportional to 465.61, 642.46 and 299.79 is: 413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.61 : 642.46 = 299.79 : x
  2. Step 2: Convert to fraction form
    465.61/642.46 = 299.79/x
  3. Step 3: Cross multiply
    465.61x = 642.46 × 299.79
  4. Step 4: Simplify right side
    465.61x = 192,603.57
  5. Step 5: Solve for x
    x = 192,603.57/465.61
  6. Step 6: Final answer
    x = 413.66

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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.