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Finding the Fourth Proportional to 450.17, 621.42 and 319.49

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Solution

The fourth proportional to 450.17, 621.42 and 319.49 is: 441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.17 : 621.42 = 319.49 : x
  2. Step 2: Convert to fraction form
    450.17/621.42 = 319.49/x
  3. Step 3: Cross multiply
    450.17x = 621.42 × 319.49
  4. Step 4: Simplify right side
    450.17x = 198,537.48
  5. Step 5: Solve for x
    x = 198,537.48/450.17
  6. Step 6: Final answer
    x = 441.03

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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.