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Finding the Fourth Proportional to 259.53, 388.98 and 122.64

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Solution

The fourth proportional to 259.53, 388.98 and 122.64 is: 183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.53 : 388.98 = 122.64 : x
  2. Step 2: Convert to fraction form
    259.53/388.98 = 122.64/x
  3. Step 3: Cross multiply
    259.53x = 388.98 × 122.64
  4. Step 4: Simplify right side
    259.53x = 47,704.51
  5. Step 5: Solve for x
    x = 47,704.51/259.53
  6. Step 6: Final answer
    x = 183.81

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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.