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Finding the Fourth Proportional to 405.50, 608.26 and 149

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Solution

The fourth proportional to 405.50, 608.26 and 149 is: 223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 608.26 = 149 : x
  2. Step 2: Convert to fraction form
    405.50/608.26 = 149/x
  3. Step 3: Cross multiply
    405.50x = 608.26 × 149
  4. Step 4: Simplify right side
    405.50x = 90,630.74
  5. Step 5: Solve for x
    x = 90,630.74/405.50
  6. Step 6: Final answer
    x = 223.50

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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.