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Finding the Fourth Proportional to 442.78, 663.93 and 154

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Solution

The fourth proportional to 442.78, 663.93 and 154 is: 230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.78 : 663.93 = 154 : x
  2. Step 2: Convert to fraction form
    442.78/663.93 = 154/x
  3. Step 3: Cross multiply
    442.78x = 663.93 × 154
  4. Step 4: Simplify right side
    442.78x = 102,245.22
  5. Step 5: Solve for x
    x = 102,245.22/442.78
  6. Step 6: Final answer
    x = 230.92

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