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Finding the Fourth Proportional to 309.74, 461.75 and 303.80

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Solution

The fourth proportional to 309.74, 461.75 and 303.80 is: 452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.74 : 461.75 = 303.80 : x
  2. Step 2: Convert to fraction form
    309.74/461.75 = 303.80/x
  3. Step 3: Cross multiply
    309.74x = 461.75 × 303.80
  4. Step 4: Simplify right side
    309.74x = 140,279.65
  5. Step 5: Solve for x
    x = 140,279.65/309.74
  6. Step 6: Final answer
    x = 452.89

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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.