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Finding the Fourth Proportional to 259.37, 358.45 and 212.67

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Solution

The fourth proportional to 259.37, 358.45 and 212.67 is: 293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.37 : 358.45 = 212.67 : x
  2. Step 2: Convert to fraction form
    259.37/358.45 = 212.67/x
  3. Step 3: Cross multiply
    259.37x = 358.45 × 212.67
  4. Step 4: Simplify right side
    259.37x = 76,230.50
  5. Step 5: Solve for x
    x = 76,230.50/259.37
  6. Step 6: Final answer
    x = 293.90

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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.