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Finding the Fourth Proportional to 304.85, 420.50 and 194.28

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Solution

The fourth proportional to 304.85, 420.50 and 194.28 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.85 : 420.50 = 194.28 : x
  2. Step 2: Convert to fraction form
    304.85/420.50 = 194.28/x
  3. Step 3: Cross multiply
    304.85x = 420.50 × 194.28
  4. Step 4: Simplify right side
    304.85x = 81,693.77
  5. Step 5: Solve for x
    x = 81,693.77/304.85
  6. Step 6: Final answer
    x = 267.98

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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.