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Finding the Fourth Proportional to 386.34, 533.15 and 211.68

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Solution

The fourth proportional to 386.34, 533.15 and 211.68 is: 292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.34 : 533.15 = 211.68 : x
  2. Step 2: Convert to fraction form
    386.34/533.15 = 211.68/x
  3. Step 3: Cross multiply
    386.34x = 533.15 × 211.68
  4. Step 4: Simplify right side
    386.34x = 112,860.12
  5. Step 5: Solve for x
    x = 112,860.12/386.34
  6. Step 6: Final answer
    x = 292.12

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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.