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Finding the Fourth Proportional to 450.37, 675.46 and 230.76

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Solution

The fourth proportional to 450.37, 675.46 and 230.76 is: 346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.37 : 675.46 = 230.76 : x
  2. Step 2: Convert to fraction form
    450.37/675.46 = 230.76/x
  3. Step 3: Cross multiply
    450.37x = 675.46 × 230.76
  4. Step 4: Simplify right side
    450.37x = 155,869.15
  5. Step 5: Solve for x
    x = 155,869.15/450.37
  6. Step 6: Final answer
    x = 346.09

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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.