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Finding the Fourth Proportional to 418.73, 628.06 and 187.81

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Solution

The fourth proportional to 418.73, 628.06 and 187.81 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.73 : 628.06 = 187.81 : x
  2. Step 2: Convert to fraction form
    418.73/628.06 = 187.81/x
  3. Step 3: Cross multiply
    418.73x = 628.06 × 187.81
  4. Step 4: Simplify right side
    418.73x = 117,955.95
  5. Step 5: Solve for x
    x = 117,955.95/418.73
  6. Step 6: Final answer
    x = 281.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.