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Finding the Fourth Proportional to 405.58, 608.34 and 162.04

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Solution

The fourth proportional to 405.58, 608.34 and 162.04 is: 243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.58 : 608.34 = 162.04 : x
  2. Step 2: Convert to fraction form
    405.58/608.34 = 162.04/x
  3. Step 3: Cross multiply
    405.58x = 608.34 × 162.04
  4. Step 4: Simplify right side
    405.58x = 98,575.41
  5. Step 5: Solve for x
    x = 98,575.41/405.58
  6. Step 6: Final answer
    x = 243.05

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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.