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Finding the Fourth Proportional to 304.59, 420.24 and 194.07

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Solution

The fourth proportional to 304.59, 420.24 and 194.07 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.59 : 420.24 = 194.07 : x
  2. Step 2: Convert to fraction form
    304.59/420.24 = 194.07/x
  3. Step 3: Cross multiply
    304.59x = 420.24 × 194.07
  4. Step 4: Simplify right side
    304.59x = 81,555.98
  5. Step 5: Solve for x
    x = 81,555.98/304.59
  6. Step 6: Final answer
    x = 267.76

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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.