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Finding the Fourth Proportional to 450.28, 621.40 and 282.20

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Solution

The fourth proportional to 450.28, 621.40 and 282.20 is: 389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.28 : 621.40 = 282.20 : x
  2. Step 2: Convert to fraction form
    450.28/621.40 = 282.20/x
  3. Step 3: Cross multiply
    450.28x = 621.40 × 282.20
  4. Step 4: Simplify right side
    450.28x = 175,359.08
  5. Step 5: Solve for x
    x = 175,359.08/450.28
  6. Step 6: Final answer
    x = 389.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.