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Finding the Fourth Proportional to 362.08, 499.64 and 212.69

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Solution

The fourth proportional to 362.08, 499.64 and 212.69 is: 293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.08 : 499.64 = 212.69 : x
  2. Step 2: Convert to fraction form
    362.08/499.64 = 212.69/x
  3. Step 3: Cross multiply
    362.08x = 499.64 × 212.69
  4. Step 4: Simplify right side
    362.08x = 106,267.21
  5. Step 5: Solve for x
    x = 106,267.21/362.08
  6. Step 6: Final answer
    x = 293.49

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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.