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Finding the Fourth Proportional to 476.81, 714.20 and 271.27

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Solution

The fourth proportional to 476.81, 714.20 and 271.27 is: 406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.81 : 714.20 = 271.27 : x
  2. Step 2: Convert to fraction form
    476.81/714.20 = 271.27/x
  3. Step 3: Cross multiply
    476.81x = 714.20 × 271.27
  4. Step 4: Simplify right side
    476.81x = 193,741.03
  5. Step 5: Solve for x
    x = 193,741.03/476.81
  6. Step 6: Final answer
    x = 406.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.