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Finding the Fourth Proportional to 405.22, 608.03 and 188.77

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Solution

The fourth proportional to 405.22, 608.03 and 188.77 is: 283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.22 : 608.03 = 188.77 : x
  2. Step 2: Convert to fraction form
    405.22/608.03 = 188.77/x
  3. Step 3: Cross multiply
    405.22x = 608.03 × 188.77
  4. Step 4: Simplify right side
    405.22x = 114,777.82
  5. Step 5: Solve for x
    x = 114,777.82/405.22
  6. Step 6: Final answer
    x = 283.25

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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.