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Finding the Fourth Proportional to 309.87, 467.17 and 290.70

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Solution

The fourth proportional to 309.87, 467.17 and 290.70 is: 438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.87 : 467.17 = 290.70 : x
  2. Step 2: Convert to fraction form
    309.87/467.17 = 290.70/x
  3. Step 3: Cross multiply
    309.87x = 467.17 × 290.70
  4. Step 4: Simplify right side
    309.87x = 135,805.59
  5. Step 5: Solve for x
    x = 135,805.59/309.87
  6. Step 6: Final answer
    x = 438.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.