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Finding the Fourth Proportional to 260.94, 388.50 and 258.06

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Solution

The fourth proportional to 260.94, 388.50 and 258.06 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 388.50 = 258.06 : x
  2. Step 2: Convert to fraction form
    260.94/388.50 = 258.06/x
  3. Step 3: Cross multiply
    260.94x = 388.50 × 258.06
  4. Step 4: Simplify right side
    260.94x = 100,256.31
  5. Step 5: Solve for x
    x = 100,256.31/260.94
  6. Step 6: Final answer
    x = 384.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.