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Finding the Fourth Proportional to 259.80, 358.60 and 161.70

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Solution

The fourth proportional to 259.80, 358.60 and 161.70 is: 223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 358.60 = 161.70 : x
  2. Step 2: Convert to fraction form
    259.80/358.60 = 161.70/x
  3. Step 3: Cross multiply
    259.80x = 358.60 × 161.70
  4. Step 4: Simplify right side
    259.80x = 57,985.62
  5. Step 5: Solve for x
    x = 57,985.62/259.80
  6. Step 6: Final answer
    x = 223.19

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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.