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Finding the Fourth Proportional to 386.12, 532.86 and 218.08

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Solution

The fourth proportional to 386.12, 532.86 and 218.08 is: 300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.12 : 532.86 = 218.08 : x
  2. Step 2: Convert to fraction form
    386.12/532.86 = 218.08/x
  3. Step 3: Cross multiply
    386.12x = 532.86 × 218.08
  4. Step 4: Simplify right side
    386.12x = 116,206.11
  5. Step 5: Solve for x
    x = 116,206.11/386.12
  6. Step 6: Final answer
    x = 300.96

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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.