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Finding the Fourth Proportional to 300.24, 447.13 and 292.48

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Solution

The fourth proportional to 300.24, 447.13 and 292.48 is: 435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 447.13 = 292.48 : x
  2. Step 2: Convert to fraction form
    300.24/447.13 = 292.48/x
  3. Step 3: Cross multiply
    300.24x = 447.13 × 292.48
  4. Step 4: Simplify right side
    300.24x = 130,776.58
  5. Step 5: Solve for x
    x = 130,776.58/300.24
  6. Step 6: Final answer
    x = 435.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.