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Finding the Fourth Proportional to 386, 532.67 and 220.24

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Solution

The fourth proportional to 386, 532.67 and 220.24 is: 303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 532.67 = 220.24 : x
  2. Step 2: Convert to fraction form
    386/532.67 = 220.24/x
  3. Step 3: Cross multiply
    386x = 532.67 × 220.24
  4. Step 4: Simplify right side
    386x = 117,311.48
  5. Step 5: Solve for x
    x = 117,311.48/386
  6. Step 6: Final answer
    x = 303.92

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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.