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Finding the Fourth Proportional to 304.70, 420.54 and 194.14

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Solution

The fourth proportional to 304.70, 420.54 and 194.14 is: 267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.70 : 420.54 = 194.14 : x
  2. Step 2: Convert to fraction form
    304.70/420.54 = 194.14/x
  3. Step 3: Cross multiply
    304.70x = 420.54 × 194.14
  4. Step 4: Simplify right side
    304.70x = 81,641.53
  5. Step 5: Solve for x
    x = 81,641.53/304.70
  6. Step 6: Final answer
    x = 267.94

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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.