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Finding the Fourth Proportional to 309.33, 461.01 and 306.78

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Solution

The fourth proportional to 309.33, 461.01 and 306.78 is: 457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.33 : 461.01 = 306.78 : x
  2. Step 2: Convert to fraction form
    309.33/461.01 = 306.78/x
  3. Step 3: Cross multiply
    309.33x = 461.01 × 306.78
  4. Step 4: Simplify right side
    309.33x = 141,428.65
  5. Step 5: Solve for x
    x = 141,428.65/309.33
  6. Step 6: Final answer
    x = 457.21

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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.