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Finding the Fourth Proportional to 387.62, 534.83 and 221.81

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Solution

The fourth proportional to 387.62, 534.83 and 221.81 is: 306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.62 : 534.83 = 221.81 : x
  2. Step 2: Convert to fraction form
    387.62/534.83 = 221.81/x
  3. Step 3: Cross multiply
    387.62x = 534.83 × 221.81
  4. Step 4: Simplify right side
    387.62x = 118,632.00
  5. Step 5: Solve for x
    x = 118,632.00/387.62
  6. Step 6: Final answer
    x = 306.05

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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.