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Finding the Fourth Proportional to 298.55, 446.67 and 257.09

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Solution

The fourth proportional to 298.55, 446.67 and 257.09 is: 384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.55 : 446.67 = 257.09 : x
  2. Step 2: Convert to fraction form
    298.55/446.67 = 257.09/x
  3. Step 3: Cross multiply
    298.55x = 446.67 × 257.09
  4. Step 4: Simplify right side
    298.55x = 114,834.39
  5. Step 5: Solve for x
    x = 114,834.39/298.55
  6. Step 6: Final answer
    x = 384.64

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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.