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Finding the Fourth Proportional to 258.93, 388.53 and 150.66

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Solution

The fourth proportional to 258.93, 388.53 and 150.66 is: 226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.93 : 388.53 = 150.66 : x
  2. Step 2: Convert to fraction form
    258.93/388.53 = 150.66/x
  3. Step 3: Cross multiply
    258.93x = 388.53 × 150.66
  4. Step 4: Simplify right side
    258.93x = 58,535.93
  5. Step 5: Solve for x
    x = 58,535.93/258.93
  6. Step 6: Final answer
    x = 226.07

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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.