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Finding the Fourth Proportional to 442.08, 608.78 and 343.67

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Solution

The fourth proportional to 442.08, 608.78 and 343.67 is: 473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.08 : 608.78 = 343.67 : x
  2. Step 2: Convert to fraction form
    442.08/608.78 = 343.67/x
  3. Step 3: Cross multiply
    442.08x = 608.78 × 343.67
  4. Step 4: Simplify right side
    442.08x = 209,217.24
  5. Step 5: Solve for x
    x = 209,217.24/442.08
  6. Step 6: Final answer
    x = 473.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.