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Finding the Fourth Proportional to 260.96, 388.79 and 258.40

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Solution

The fourth proportional to 260.96, 388.79 and 258.40 is: 384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.96 : 388.79 = 258.40 : x
  2. Step 2: Convert to fraction form
    260.96/388.79 = 258.40/x
  3. Step 3: Cross multiply
    260.96x = 388.79 × 258.40
  4. Step 4: Simplify right side
    260.96x = 100,463.34
  5. Step 5: Solve for x
    x = 100,463.34/260.96
  6. Step 6: Final answer
    x = 384.98

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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.