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Finding the Fourth Proportional to 298.84, 446.17 and 255.53

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Solution

The fourth proportional to 298.84, 446.17 and 255.53 is: 381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.84 : 446.17 = 255.53 : x
  2. Step 2: Convert to fraction form
    298.84/446.17 = 255.53/x
  3. Step 3: Cross multiply
    298.84x = 446.17 × 255.53
  4. Step 4: Simplify right side
    298.84x = 114,009.82
  5. Step 5: Solve for x
    x = 114,009.82/298.84
  6. Step 6: Final answer
    x = 381.51

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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.