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Finding the Fourth Proportional to 408.02, 608.16 and 376.81

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Solution

The fourth proportional to 408.02, 608.16 and 376.81 is: 561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.02 : 608.16 = 376.81 : x
  2. Step 2: Convert to fraction form
    408.02/608.16 = 376.81/x
  3. Step 3: Cross multiply
    408.02x = 608.16 × 376.81
  4. Step 4: Simplify right side
    408.02x = 229,162.82
  5. Step 5: Solve for x
    x = 229,162.82/408.02
  6. Step 6: Final answer
    x = 561.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.