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Finding the Fourth Proportional to 451.94, 623.43 and 277.34

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Solution

The fourth proportional to 451.94, 623.43 and 277.34 is: 382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.94 : 623.43 = 277.34 : x
  2. Step 2: Convert to fraction form
    451.94/623.43 = 277.34/x
  3. Step 3: Cross multiply
    451.94x = 623.43 × 277.34
  4. Step 4: Simplify right side
    451.94x = 172,902.08
  5. Step 5: Solve for x
    x = 172,902.08/451.94
  6. Step 6: Final answer
    x = 382.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.