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Finding the Fourth Proportional to 298.93, 449.40 and 238.72

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Solution

The fourth proportional to 298.93, 449.40 and 238.72 is: 358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.93 : 449.40 = 238.72 : x
  2. Step 2: Convert to fraction form
    298.93/449.40 = 238.72/x
  3. Step 3: Cross multiply
    298.93x = 449.40 × 238.72
  4. Step 4: Simplify right side
    298.93x = 107,278.52
  5. Step 5: Solve for x
    x = 107,278.52/298.93
  6. Step 6: Final answer
    x = 358.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.