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Finding the Fourth Proportional to 454.00, 680.09 and 237.13

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Solution

The fourth proportional to 454.00, 680.09 and 237.13 is: 355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.00 : 680.09 = 237.13 : x
  2. Step 2: Convert to fraction form
    454.00/680.09 = 237.13/x
  3. Step 3: Cross multiply
    454.00x = 680.09 × 237.13
  4. Step 4: Simplify right side
    454.00x = 161,266.93
  5. Step 5: Solve for x
    x = 161,266.93/454.00
  6. Step 6: Final answer
    x = 355.21

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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.