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Finding the Fourth Proportional to 405.50, 604.40 and 381.83

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Solution

The fourth proportional to 405.50, 604.40 and 381.83 is: 569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 604.40 = 381.83 : x
  2. Step 2: Convert to fraction form
    405.50/604.40 = 381.83/x
  3. Step 3: Cross multiply
    405.50x = 604.40 × 381.83
  4. Step 4: Simplify right side
    405.50x = 230,773.12
  5. Step 5: Solve for x
    x = 230,773.12/405.50
  6. Step 6: Final answer
    x = 569.11

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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.