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Finding the Fourth Proportional to 441.96, 608.42 and 384.36

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Solution

The fourth proportional to 441.96, 608.42 and 384.36 is: 529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.96 : 608.42 = 384.36 : x
  2. Step 2: Convert to fraction form
    441.96/608.42 = 384.36/x
  3. Step 3: Cross multiply
    441.96x = 608.42 × 384.36
  4. Step 4: Simplify right side
    441.96x = 233,852.31
  5. Step 5: Solve for x
    x = 233,852.31/441.96
  6. Step 6: Final answer
    x = 529.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.