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Finding the Fourth Proportional to 486.63, 729.96 and 162

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Solution

The fourth proportional to 486.63, 729.96 and 162 is: 243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.63 : 729.96 = 162 : x
  2. Step 2: Convert to fraction form
    486.63/729.96 = 162/x
  3. Step 3: Cross multiply
    486.63x = 729.96 × 162
  4. Step 4: Simplify right side
    486.63x = 118,253.82
  5. Step 5: Solve for x
    x = 118,253.82/486.63
  6. Step 6: Final answer
    x = 243.00

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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.