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Finding the Fourth Proportional to 259.72, 389.28 and 122.80

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Solution

The fourth proportional to 259.72, 389.28 and 122.80 is: 184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.72 : 389.28 = 122.80 : x
  2. Step 2: Convert to fraction form
    259.72/389.28 = 122.80/x
  3. Step 3: Cross multiply
    259.72x = 389.28 × 122.80
  4. Step 4: Simplify right side
    259.72x = 47,803.58
  5. Step 5: Solve for x
    x = 47,803.58/259.72
  6. Step 6: Final answer
    x = 184.06

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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.