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Finding the Fourth Proportional to 386.08, 532.81 and 211.42

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Solution

The fourth proportional to 386.08, 532.81 and 211.42 is: 291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.08 : 532.81 = 211.42 : x
  2. Step 2: Convert to fraction form
    386.08/532.81 = 211.42/x
  3. Step 3: Cross multiply
    386.08x = 532.81 × 211.42
  4. Step 4: Simplify right side
    386.08x = 112,647.62
  5. Step 5: Solve for x
    x = 112,647.62/386.08
  6. Step 6: Final answer
    x = 291.77

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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.