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Finding the Fourth Proportional to 407.10, 561.90 and 241.36

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Solution

The fourth proportional to 407.10, 561.90 and 241.36 is: 333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.10 : 561.90 = 241.36 : x
  2. Step 2: Convert to fraction form
    407.10/561.90 = 241.36/x
  3. Step 3: Cross multiply
    407.10x = 561.90 × 241.36
  4. Step 4: Simplify right side
    407.10x = 135,620.18
  5. Step 5: Solve for x
    x = 135,620.18/407.10
  6. Step 6: Final answer
    x = 333.14

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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.