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Finding the Fourth Proportional to 304.44, 455.72 and 175.80

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Solution

The fourth proportional to 304.44, 455.72 and 175.80 is: 263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.44 : 455.72 = 175.80 : x
  2. Step 2: Convert to fraction form
    304.44/455.72 = 175.80/x
  3. Step 3: Cross multiply
    304.44x = 455.72 × 175.80
  4. Step 4: Simplify right side
    304.44x = 80,115.58
  5. Step 5: Solve for x
    x = 80,115.58/304.44
  6. Step 6: Final answer
    x = 263.16

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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.