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Finding the Fourth Proportional to 248.00, 341.91 and 216.63

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Solution

The fourth proportional to 248.00, 341.91 and 216.63 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.00 : 341.91 = 216.63 : x
  2. Step 2: Convert to fraction form
    248.00/341.91 = 216.63/x
  3. Step 3: Cross multiply
    248.00x = 341.91 × 216.63
  4. Step 4: Simplify right side
    248.00x = 74,067.96
  5. Step 5: Solve for x
    x = 74,067.96/248.00
  6. Step 6: Final answer
    x = 298.67

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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.