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Finding the Fourth Proportional to 304.26, 454.17 and 281.70

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Solution

The fourth proportional to 304.26, 454.17 and 281.70 is: 420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.26 : 454.17 = 281.70 : x
  2. Step 2: Convert to fraction form
    304.26/454.17 = 281.70/x
  3. Step 3: Cross multiply
    304.26x = 454.17 × 281.70
  4. Step 4: Simplify right side
    304.26x = 127,939.69
  5. Step 5: Solve for x
    x = 127,939.69/304.26
  6. Step 6: Final answer
    x = 420.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.