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Finding the Fourth Proportional to 309.06, 428.81 and 301.50

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Solution

The fourth proportional to 309.06, 428.81 and 301.50 is: 418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.06 : 428.81 = 301.50 : x
  2. Step 2: Convert to fraction form
    309.06/428.81 = 301.50/x
  3. Step 3: Cross multiply
    309.06x = 428.81 × 301.50
  4. Step 4: Simplify right side
    309.06x = 129,284.71
  5. Step 5: Solve for x
    x = 129,284.71/309.06
  6. Step 6: Final answer
    x = 418.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.