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Finding the Fourth Proportional to 255.98, 353.07 and 217.01

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Solution

The fourth proportional to 255.98, 353.07 and 217.01 is: 299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.98 : 353.07 = 217.01 : x
  2. Step 2: Convert to fraction form
    255.98/353.07 = 217.01/x
  3. Step 3: Cross multiply
    255.98x = 353.07 × 217.01
  4. Step 4: Simplify right side
    255.98x = 76,620.60
  5. Step 5: Solve for x
    x = 76,620.60/255.98
  6. Step 6: Final answer
    x = 299.32

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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.