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Finding the Fourth Proportional to 309.15, 461.42 and 284.73

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Solution

The fourth proportional to 309.15, 461.42 and 284.73 is: 424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.15 : 461.42 = 284.73 : x
  2. Step 2: Convert to fraction form
    309.15/461.42 = 284.73/x
  3. Step 3: Cross multiply
    309.15x = 461.42 × 284.73
  4. Step 4: Simplify right side
    309.15x = 131,378.69
  5. Step 5: Solve for x
    x = 131,378.69/309.15
  6. Step 6: Final answer
    x = 424.97

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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.