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Finding the Fourth Proportional to 258.23, 388.75 and 235.55

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Solution

The fourth proportional to 258.23, 388.75 and 235.55 is: 354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.23 : 388.75 = 235.55 : x
  2. Step 2: Convert to fraction form
    258.23/388.75 = 235.55/x
  3. Step 3: Cross multiply
    258.23x = 388.75 × 235.55
  4. Step 4: Simplify right side
    258.23x = 91,566.94
  5. Step 5: Solve for x
    x = 91,566.94/258.23
  6. Step 6: Final answer
    x = 354.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.