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Finding the Fourth Proportional to 386.70, 533.64 and 212.05

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Solution

The fourth proportional to 386.70, 533.64 and 212.05 is: 292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.70 : 533.64 = 212.05 : x
  2. Step 2: Convert to fraction form
    386.70/533.64 = 212.05/x
  3. Step 3: Cross multiply
    386.70x = 533.64 × 212.05
  4. Step 4: Simplify right side
    386.70x = 113,158.36
  5. Step 5: Solve for x
    x = 113,158.36/386.70
  6. Step 6: Final answer
    x = 292.63

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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.