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Finding the Fourth Proportional to 550.64, 825.68 and 258.06

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Solution

The fourth proportional to 550.64, 825.68 and 258.06 is: 386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.64 : 825.68 = 258.06 : x
  2. Step 2: Convert to fraction form
    550.64/825.68 = 258.06/x
  3. Step 3: Cross multiply
    550.64x = 825.68 × 258.06
  4. Step 4: Simplify right side
    550.64x = 213,074.98
  5. Step 5: Solve for x
    x = 213,074.98/550.64
  6. Step 6: Final answer
    x = 386.96

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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.