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Finding the Fourth Proportional to 405.82, 608.49 and 162.46

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Solution

The fourth proportional to 405.82, 608.49 and 162.46 is: 243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.82 : 608.49 = 162.46 : x
  2. Step 2: Convert to fraction form
    405.82/608.49 = 162.46/x
  3. Step 3: Cross multiply
    405.82x = 608.49 × 162.46
  4. Step 4: Simplify right side
    405.82x = 98,855.29
  5. Step 5: Solve for x
    x = 98,855.29/405.82
  6. Step 6: Final answer
    x = 243.59

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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.