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Finding the Fourth Proportional to 451.78, 623.76 and 296.80

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Solution

The fourth proportional to 451.78, 623.76 and 296.80 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.78 : 623.76 = 296.80 : x
  2. Step 2: Convert to fraction form
    451.78/623.76 = 296.80/x
  3. Step 3: Cross multiply
    451.78x = 623.76 × 296.80
  4. Step 4: Simplify right side
    451.78x = 185,131.97
  5. Step 5: Solve for x
    x = 185,131.97/451.78
  6. Step 6: Final answer
    x = 409.78

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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.