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Finding the Fourth Proportional to 453.46, 680.58 and 338.14

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Solution

The fourth proportional to 453.46, 680.58 and 338.14 is: 507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.46 : 680.58 = 338.14 : x
  2. Step 2: Convert to fraction form
    453.46/680.58 = 338.14/x
  3. Step 3: Cross multiply
    453.46x = 680.58 × 338.14
  4. Step 4: Simplify right side
    453.46x = 230,131.32
  5. Step 5: Solve for x
    x = 230,131.32/453.46
  6. Step 6: Final answer
    x = 507.50

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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.