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Finding the Fourth Proportional to 451.73, 623.30 and 294.39

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Solution

The fourth proportional to 451.73, 623.30 and 294.39 is: 406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.73 : 623.30 = 294.39 : x
  2. Step 2: Convert to fraction form
    451.73/623.30 = 294.39/x
  3. Step 3: Cross multiply
    451.73x = 623.30 × 294.39
  4. Step 4: Simplify right side
    451.73x = 183,493.29
  5. Step 5: Solve for x
    x = 183,493.29/451.73
  6. Step 6: Final answer
    x = 406.20

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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.