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Finding the Fourth Proportional to 309.78, 462.15 and 300.96

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Solution

The fourth proportional to 309.78, 462.15 and 300.96 is: 448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.78 : 462.15 = 300.96 : x
  2. Step 2: Convert to fraction form
    309.78/462.15 = 300.96/x
  3. Step 3: Cross multiply
    309.78x = 462.15 × 300.96
  4. Step 4: Simplify right side
    309.78x = 139,088.66
  5. Step 5: Solve for x
    x = 139,088.66/309.78
  6. Step 6: Final answer
    x = 448.99

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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.