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Finding the Fourth Proportional to 304.73, 420.50 and 180.40

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Solution

The fourth proportional to 304.73, 420.50 and 180.40 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.73 : 420.50 = 180.40 : x
  2. Step 2: Convert to fraction form
    304.73/420.50 = 180.40/x
  3. Step 3: Cross multiply
    304.73x = 420.50 × 180.40
  4. Step 4: Simplify right side
    304.73x = 75,857.30
  5. Step 5: Solve for x
    x = 75,857.30/304.73
  6. Step 6: Final answer
    x = 248.93

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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.