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Finding the Fourth Proportional to 476.23, 712.55 and 281.34

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Solution

The fourth proportional to 476.23, 712.55 and 281.34 is: 420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.23 : 712.55 = 281.34 : x
  2. Step 2: Convert to fraction form
    476.23/712.55 = 281.34/x
  3. Step 3: Cross multiply
    476.23x = 712.55 × 281.34
  4. Step 4: Simplify right side
    476.23x = 200,469.52
  5. Step 5: Solve for x
    x = 200,469.52/476.23
  6. Step 6: Final answer
    x = 420.95

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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.