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Finding the Fourth Proportional to 304.95, 420.80 and 173.95

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Solution

The fourth proportional to 304.95, 420.80 and 173.95 is: 240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.95 : 420.80 = 173.95 : x
  2. Step 2: Convert to fraction form
    304.95/420.80 = 173.95/x
  3. Step 3: Cross multiply
    304.95x = 420.80 × 173.95
  4. Step 4: Simplify right side
    304.95x = 73,198.16
  5. Step 5: Solve for x
    x = 73,198.16/304.95
  6. Step 6: Final answer
    x = 240.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.