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Finding the Fourth Proportional to 451.98, 623.77 and 255.52

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Solution

The fourth proportional to 451.98, 623.77 and 255.52 is: 352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.98 : 623.77 = 255.52 : x
  2. Step 2: Convert to fraction form
    451.98/623.77 = 255.52/x
  3. Step 3: Cross multiply
    451.98x = 623.77 × 255.52
  4. Step 4: Simplify right side
    451.98x = 159,385.85
  5. Step 5: Solve for x
    x = 159,385.85/451.98
  6. Step 6: Final answer
    x = 352.64

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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.