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Finding the Fourth Proportional to 486.82, 730.35 and 162.19

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Solution

The fourth proportional to 486.82, 730.35 and 162.19 is: 243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.82 : 730.35 = 162.19 : x
  2. Step 2: Convert to fraction form
    486.82/730.35 = 162.19/x
  3. Step 3: Cross multiply
    486.82x = 730.35 × 162.19
  4. Step 4: Simplify right side
    486.82x = 118,455.47
  5. Step 5: Solve for x
    x = 118,455.47/486.82
  6. Step 6: Final answer
    x = 243.32

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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.