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Finding the Fourth Proportional to 298.12, 447.72 and 257.20

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Solution

The fourth proportional to 298.12, 447.72 and 257.20 is: 386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.12 : 447.72 = 257.20 : x
  2. Step 2: Convert to fraction form
    298.12/447.72 = 257.20/x
  3. Step 3: Cross multiply
    298.12x = 447.72 × 257.20
  4. Step 4: Simplify right side
    298.12x = 115,153.58
  5. Step 5: Solve for x
    x = 115,153.58/298.12
  6. Step 6: Final answer
    x = 386.27

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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.