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Finding the Fourth Proportional to 453.48, 680.46 and 237.08

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Solution

The fourth proportional to 453.48, 680.46 and 237.08 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.48 : 680.46 = 237.08 : x
  2. Step 2: Convert to fraction form
    453.48/680.46 = 237.08/x
  3. Step 3: Cross multiply
    453.48x = 680.46 × 237.08
  4. Step 4: Simplify right side
    453.48x = 161,323.46
  5. Step 5: Solve for x
    x = 161,323.46/453.48
  6. Step 6: Final answer
    x = 355.75

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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.