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Finding the Fourth Proportional to 386.12, 532.84 and 211.48

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Solution

The fourth proportional to 386.12, 532.84 and 211.48 is: 291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.12 : 532.84 = 211.48 : x
  2. Step 2: Convert to fraction form
    386.12/532.84 = 211.48/x
  3. Step 3: Cross multiply
    386.12x = 532.84 × 211.48
  4. Step 4: Simplify right side
    386.12x = 112,685.00
  5. Step 5: Solve for x
    x = 112,685.00/386.12
  6. Step 6: Final answer
    x = 291.84

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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.