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Finding the Fourth Proportional to 259.92, 358.72 and 161.76

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Solution

The fourth proportional to 259.92, 358.72 and 161.76 is: 223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.92 : 358.72 = 161.76 : x
  2. Step 2: Convert to fraction form
    259.92/358.72 = 161.76/x
  3. Step 3: Cross multiply
    259.92x = 358.72 × 161.76
  4. Step 4: Simplify right side
    259.92x = 58,026.55
  5. Step 5: Solve for x
    x = 58,026.55/259.92
  6. Step 6: Final answer
    x = 223.25

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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.