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Finding the Fourth Proportional to 259.16, 388.33 and 181.00

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Solution

The fourth proportional to 259.16, 388.33 and 181.00 is: 271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.16 : 388.33 = 181.00 : x
  2. Step 2: Convert to fraction form
    259.16/388.33 = 181.00/x
  3. Step 3: Cross multiply
    259.16x = 388.33 × 181.00
  4. Step 4: Simplify right side
    259.16x = 70,286.26
  5. Step 5: Solve for x
    x = 70,286.26/259.16
  6. Step 6: Final answer
    x = 271.21

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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.