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Finding the Fourth Proportional to 258.51, 386.94 and 185.20

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Solution

The fourth proportional to 258.51, 386.94 and 185.20 is: 277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.51 : 386.94 = 185.20 : x
  2. Step 2: Convert to fraction form
    258.51/386.94 = 185.20/x
  3. Step 3: Cross multiply
    258.51x = 386.94 × 185.20
  4. Step 4: Simplify right side
    258.51x = 71,661.29
  5. Step 5: Solve for x
    x = 71,661.29/258.51
  6. Step 6: Final answer
    x = 277.21

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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.