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Finding the Fourth Proportional to 450.32, 621.71 and 310.38

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Solution

The fourth proportional to 450.32, 621.71 and 310.38 is: 428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.32 : 621.71 = 310.38 : x
  2. Step 2: Convert to fraction form
    450.32/621.71 = 310.38/x
  3. Step 3: Cross multiply
    450.32x = 621.71 × 310.38
  4. Step 4: Simplify right side
    450.32x = 192,964.80
  5. Step 5: Solve for x
    x = 192,964.80/450.32
  6. Step 6: Final answer
    x = 428.51

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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.