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Finding the Fourth Proportional to 476.80, 714.26 and 271.08

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Solution

The fourth proportional to 476.80, 714.26 and 271.08 is: 406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.80 : 714.26 = 271.08 : x
  2. Step 2: Convert to fraction form
    476.80/714.26 = 271.08/x
  3. Step 3: Cross multiply
    476.80x = 714.26 × 271.08
  4. Step 4: Simplify right side
    476.80x = 193,621.60
  5. Step 5: Solve for x
    x = 193,621.60/476.80
  6. Step 6: Final answer
    x = 406.09

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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.