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Finding the Fourth Proportional to 451.88, 623.70 and 255.46

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Solution

The fourth proportional to 451.88, 623.70 and 255.46 is: 352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.88 : 623.70 = 255.46 : x
  2. Step 2: Convert to fraction form
    451.88/623.70 = 255.46/x
  3. Step 3: Cross multiply
    451.88x = 623.70 × 255.46
  4. Step 4: Simplify right side
    451.88x = 159,330.40
  5. Step 5: Solve for x
    x = 159,330.40/451.88
  6. Step 6: Final answer
    x = 352.59

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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.