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Finding the Fourth Proportional to 255.63, 352.41 and 211.20

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Solution

The fourth proportional to 255.63, 352.41 and 211.20 is: 291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.63 : 352.41 = 211.20 : x
  2. Step 2: Convert to fraction form
    255.63/352.41 = 211.20/x
  3. Step 3: Cross multiply
    255.63x = 352.41 × 211.20
  4. Step 4: Simplify right side
    255.63x = 74,428.99
  5. Step 5: Solve for x
    x = 74,428.99/255.63
  6. Step 6: Final answer
    x = 291.16

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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.