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Finding the Fourth Proportional to 450.36, 621.61 and 319.41

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Solution

The fourth proportional to 450.36, 621.61 and 319.41 is: 440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.36 : 621.61 = 319.41 : x
  2. Step 2: Convert to fraction form
    450.36/621.61 = 319.41/x
  3. Step 3: Cross multiply
    450.36x = 621.61 × 319.41
  4. Step 4: Simplify right side
    450.36x = 198,547.65
  5. Step 5: Solve for x
    x = 198,547.65/450.36
  6. Step 6: Final answer
    x = 440.86

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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.