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Finding the Fourth Proportional to 548.63, 823.14 and 260.09

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Solution

The fourth proportional to 548.63, 823.14 and 260.09 is: 390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.63 : 823.14 = 260.09 : x
  2. Step 2: Convert to fraction form
    548.63/823.14 = 260.09/x
  3. Step 3: Cross multiply
    548.63x = 823.14 × 260.09
  4. Step 4: Simplify right side
    548.63x = 214,086.37
  5. Step 5: Solve for x
    x = 214,086.37/548.63
  6. Step 6: Final answer
    x = 390.22

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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.