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Finding the Fourth Proportional to 306.93, 426.32 and 298.29

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Solution

The fourth proportional to 306.93, 426.32 and 298.29 is: 414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.93 : 426.32 = 298.29 : x
  2. Step 2: Convert to fraction form
    306.93/426.32 = 298.29/x
  3. Step 3: Cross multiply
    306.93x = 426.32 × 298.29
  4. Step 4: Simplify right side
    306.93x = 127,166.99
  5. Step 5: Solve for x
    x = 127,166.99/306.93
  6. Step 6: Final answer
    x = 414.32

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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.