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Finding the Fourth Proportional to 450.34, 675.50 and 125.71

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Solution

The fourth proportional to 450.34, 675.50 and 125.71 is: 188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.34 : 675.50 = 125.71 : x
  2. Step 2: Convert to fraction form
    450.34/675.50 = 125.71/x
  3. Step 3: Cross multiply
    450.34x = 675.50 × 125.71
  4. Step 4: Simplify right side
    450.34x = 84,915.14
  5. Step 5: Solve for x
    x = 84,915.14/450.34
  6. Step 6: Final answer
    x = 188.56

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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.