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Finding the Fourth Proportional to 407.19, 561.74 and 241.41

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Solution

The fourth proportional to 407.19, 561.74 and 241.41 is: 333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.19 : 561.74 = 241.41 : x
  2. Step 2: Convert to fraction form
    407.19/561.74 = 241.41/x
  3. Step 3: Cross multiply
    407.19x = 561.74 × 241.41
  4. Step 4: Simplify right side
    407.19x = 135,609.65
  5. Step 5: Solve for x
    x = 135,609.65/407.19
  6. Step 6: Final answer
    x = 333.04

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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.