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Finding the Fourth Proportional to 298.64, 445.74 and 257.34

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Solution

The fourth proportional to 298.64, 445.74 and 257.34 is: 384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 445.74 = 257.34 : x
  2. Step 2: Convert to fraction form
    298.64/445.74 = 257.34/x
  3. Step 3: Cross multiply
    298.64x = 445.74 × 257.34
  4. Step 4: Simplify right side
    298.64x = 114,706.73
  5. Step 5: Solve for x
    x = 114,706.73/298.64
  6. Step 6: Final answer
    x = 384.10

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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.