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Finding the Fourth Proportional to 486.74, 729.88 and 162

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Solution

The fourth proportional to 486.74, 729.88 and 162 is: 242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.74 : 729.88 = 162 : x
  2. Step 2: Convert to fraction form
    486.74/729.88 = 162/x
  3. Step 3: Cross multiply
    486.74x = 729.88 × 162
  4. Step 4: Simplify right side
    486.74x = 118,240.16
  5. Step 5: Solve for x
    x = 118,240.16/486.74
  6. Step 6: Final answer
    x = 242.92

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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.