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Finding the Fourth Proportional to 263.51, 395.59 and 218.40

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Solution

The fourth proportional to 263.51, 395.59 and 218.40 is: 327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.51 : 395.59 = 218.40 : x
  2. Step 2: Convert to fraction form
    263.51/395.59 = 218.40/x
  3. Step 3: Cross multiply
    263.51x = 395.59 × 218.40
  4. Step 4: Simplify right side
    263.51x = 86,396.86
  5. Step 5: Solve for x
    x = 86,396.86/263.51
  6. Step 6: Final answer
    x = 327.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.