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Finding the Fourth Proportional to 448.45, 619.08 and 299.32

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Solution

The fourth proportional to 448.45, 619.08 and 299.32 is: 413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.45 : 619.08 = 299.32 : x
  2. Step 2: Convert to fraction form
    448.45/619.08 = 299.32/x
  3. Step 3: Cross multiply
    448.45x = 619.08 × 299.32
  4. Step 4: Simplify right side
    448.45x = 185,304.92
  5. Step 5: Solve for x
    x = 185,304.92/448.45
  6. Step 6: Final answer
    x = 413.21

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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.