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Finding the Fourth Proportional to 298.36, 443.90 and 292.88

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Solution

The fourth proportional to 298.36, 443.90 and 292.88 is: 435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.36 : 443.90 = 292.88 : x
  2. Step 2: Convert to fraction form
    298.36/443.90 = 292.88/x
  3. Step 3: Cross multiply
    298.36x = 443.90 × 292.88
  4. Step 4: Simplify right side
    298.36x = 130,009.43
  5. Step 5: Solve for x
    x = 130,009.43/298.36
  6. Step 6: Final answer
    x = 435.75

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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.