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Finding the Fourth Proportional to 454.40, 680.70 and 261.80

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Solution

The fourth proportional to 454.40, 680.70 and 261.80 is: 392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.40 : 680.70 = 261.80 : x
  2. Step 2: Convert to fraction form
    454.40/680.70 = 261.80/x
  3. Step 3: Cross multiply
    454.40x = 680.70 × 261.80
  4. Step 4: Simplify right side
    454.40x = 178,207.26
  5. Step 5: Solve for x
    x = 178,207.26/454.40
  6. Step 6: Final answer
    x = 392.18

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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.