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Finding the Fourth Proportional to 465.50, 642.12 and 299.54

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Solution

The fourth proportional to 465.50, 642.12 and 299.54 is: 413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.50 : 642.12 = 299.54 : x
  2. Step 2: Convert to fraction form
    465.50/642.12 = 299.54/x
  3. Step 3: Cross multiply
    465.50x = 642.12 × 299.54
  4. Step 4: Simplify right side
    465.50x = 192,337.41
  5. Step 5: Solve for x
    x = 192,337.41/465.50
  6. Step 6: Final answer
    x = 413.19

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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.