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Finding the Fourth Proportional to 312.82, 434.56 and 309.94

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Solution

The fourth proportional to 312.82, 434.56 and 309.94 is: 430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.82 : 434.56 = 309.94 : x
  2. Step 2: Convert to fraction form
    312.82/434.56 = 309.94/x
  3. Step 3: Cross multiply
    312.82x = 434.56 × 309.94
  4. Step 4: Simplify right side
    312.82x = 134,687.53
  5. Step 5: Solve for x
    x = 134,687.53/312.82
  6. Step 6: Final answer
    x = 430.56

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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.