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Finding the Fourth Proportional to 298.08, 443.34 and 294.30

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Solution

The fourth proportional to 298.08, 443.34 and 294.30 is: 437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.08 : 443.34 = 294.30 : x
  2. Step 2: Convert to fraction form
    298.08/443.34 = 294.30/x
  3. Step 3: Cross multiply
    298.08x = 443.34 × 294.30
  4. Step 4: Simplify right side
    298.08x = 130,474.96
  5. Step 5: Solve for x
    x = 130,474.96/298.08
  6. Step 6: Final answer
    x = 437.72

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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.