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Finding the Fourth Proportional to 259.94, 358.97 and 161.74

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Solution

The fourth proportional to 259.94, 358.97 and 161.74 is: 223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.94 : 358.97 = 161.74 : x
  2. Step 2: Convert to fraction form
    259.94/358.97 = 161.74/x
  3. Step 3: Cross multiply
    259.94x = 358.97 × 161.74
  4. Step 4: Simplify right side
    259.94x = 58,059.81
  5. Step 5: Solve for x
    x = 58,059.81/259.94
  6. Step 6: Final answer
    x = 223.36

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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.