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Finding the Fourth Proportional to 312.75, 429.93 and 275.49

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Solution

The fourth proportional to 312.75, 429.93 and 275.49 is: 378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 429.93 = 275.49 : x
  2. Step 2: Convert to fraction form
    312.75/429.93 = 275.49/x
  3. Step 3: Cross multiply
    312.75x = 429.93 × 275.49
  4. Step 4: Simplify right side
    312.75x = 118,441.42
  5. Step 5: Solve for x
    x = 118,441.42/312.75
  6. Step 6: Final answer
    x = 378.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.