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Finding the Fourth Proportional to 407.81, 611.75 and 161.00

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Solution

The fourth proportional to 407.81, 611.75 and 161.00 is: 241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.81 : 611.75 = 161.00 : x
  2. Step 2: Convert to fraction form
    407.81/611.75 = 161.00/x
  3. Step 3: Cross multiply
    407.81x = 611.75 × 161.00
  4. Step 4: Simplify right side
    407.81x = 98,491.39
  5. Step 5: Solve for x
    x = 98,491.39/407.81
  6. Step 6: Final answer
    x = 241.51

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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.