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Finding the Fourth Proportional to 304.56, 455.22 and 259.20

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Solution

The fourth proportional to 304.56, 455.22 and 259.20 is: 387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.56 : 455.22 = 259.20 : x
  2. Step 2: Convert to fraction form
    304.56/455.22 = 259.20/x
  3. Step 3: Cross multiply
    304.56x = 455.22 × 259.20
  4. Step 4: Simplify right side
    304.56x = 117,993.02
  5. Step 5: Solve for x
    x = 117,993.02/304.56
  6. Step 6: Final answer
    x = 387.42

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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.