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Finding the Fourth Proportional to 309.59, 461.08 and 305.94

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Solution

The fourth proportional to 309.59, 461.08 and 305.94 is: 455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.59 : 461.08 = 305.94 : x
  2. Step 2: Convert to fraction form
    309.59/461.08 = 305.94/x
  3. Step 3: Cross multiply
    309.59x = 461.08 × 305.94
  4. Step 4: Simplify right side
    309.59x = 141,063.21
  5. Step 5: Solve for x
    x = 141,063.21/309.59
  6. Step 6: Final answer
    x = 455.65

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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.