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Finding the Fourth Proportional to 281.53, 388.16 and 217.54

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Solution

The fourth proportional to 281.53, 388.16 and 217.54 is: 299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.53 : 388.16 = 217.54 : x
  2. Step 2: Convert to fraction form
    281.53/388.16 = 217.54/x
  3. Step 3: Cross multiply
    281.53x = 388.16 × 217.54
  4. Step 4: Simplify right side
    281.53x = 84,440.54
  5. Step 5: Solve for x
    x = 84,440.54/281.53
  6. Step 6: Final answer
    x = 299.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.