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Finding the Fourth Proportional to 450.30, 621.45 and 275.64

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Solution

The fourth proportional to 450.30, 621.45 and 275.64 is: 380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.30 : 621.45 = 275.64 : x
  2. Step 2: Convert to fraction form
    450.30/621.45 = 275.64/x
  3. Step 3: Cross multiply
    450.30x = 621.45 × 275.64
  4. Step 4: Simplify right side
    450.30x = 171,296.48
  5. Step 5: Solve for x
    x = 171,296.48/450.30
  6. Step 6: Final answer
    x = 380.41

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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.