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Finding the Fourth Proportional to 259.36, 358.09 and 180.83

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Solution

The fourth proportional to 259.36, 358.09 and 180.83 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.36 : 358.09 = 180.83 : x
  2. Step 2: Convert to fraction form
    259.36/358.09 = 180.83/x
  3. Step 3: Cross multiply
    259.36x = 358.09 × 180.83
  4. Step 4: Simplify right side
    259.36x = 64,753.86
  5. Step 5: Solve for x
    x = 64,753.86/259.36
  6. Step 6: Final answer
    x = 249.67

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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.