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Finding the Fourth Proportional to 450.37, 675.96 and 303.76

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Solution

The fourth proportional to 450.37, 675.96 and 303.76 is: 455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.37 : 675.96 = 303.76 : x
  2. Step 2: Convert to fraction form
    450.37/675.96 = 303.76/x
  3. Step 3: Cross multiply
    450.37x = 675.96 × 303.76
  4. Step 4: Simplify right side
    450.37x = 205,329.61
  5. Step 5: Solve for x
    x = 205,329.61/450.37
  6. Step 6: Final answer
    x = 455.91

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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.