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Finding the Fourth Proportional to 405.36, 608.22 and 251.37

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Solution

The fourth proportional to 405.36, 608.22 and 251.37 is: 377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.36 : 608.22 = 251.37 : x
  2. Step 2: Convert to fraction form
    405.36/608.22 = 251.37/x
  3. Step 3: Cross multiply
    405.36x = 608.22 × 251.37
  4. Step 4: Simplify right side
    405.36x = 152,888.26
  5. Step 5: Solve for x
    x = 152,888.26/405.36
  6. Step 6: Final answer
    x = 377.17

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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.