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Finding the Fourth Proportional to 298.65, 445.83 and 257.07

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Solution

The fourth proportional to 298.65, 445.83 and 257.07 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.65 : 445.83 = 257.07 : x
  2. Step 2: Convert to fraction form
    298.65/445.83 = 257.07/x
  3. Step 3: Cross multiply
    298.65x = 445.83 × 257.07
  4. Step 4: Simplify right side
    298.65x = 114,609.52
  5. Step 5: Solve for x
    x = 114,609.52/298.65
  6. Step 6: Final answer
    x = 383.76

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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.