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Finding the Fourth Proportional to 258.19, 386.57 and 206.55

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Solution

The fourth proportional to 258.19, 386.57 and 206.55 is: 309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 386.57 = 206.55 : x
  2. Step 2: Convert to fraction form
    258.19/386.57 = 206.55/x
  3. Step 3: Cross multiply
    258.19x = 386.57 × 206.55
  4. Step 4: Simplify right side
    258.19x = 79,846.55
  5. Step 5: Solve for x
    x = 79,846.55/258.19
  6. Step 6: Final answer
    x = 309.26

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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.