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Finding the Fourth Proportional to 259.83, 388.76 and 155.33

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Solution

The fourth proportional to 259.83, 388.76 and 155.33 is: 232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.83 : 388.76 = 155.33 : x
  2. Step 2: Convert to fraction form
    259.83/388.76 = 155.33/x
  3. Step 3: Cross multiply
    259.83x = 388.76 × 155.33
  4. Step 4: Simplify right side
    259.83x = 60,383.37
  5. Step 5: Solve for x
    x = 60,383.37/259.83
  6. Step 6: Final answer
    x = 232.40

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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.