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Finding the Fourth Proportional to 450.29, 621.42 and 253.82

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Solution

The fourth proportional to 450.29, 621.42 and 253.82 is: 350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.29 : 621.42 = 253.82 : x
  2. Step 2: Convert to fraction form
    450.29/621.42 = 253.82/x
  3. Step 3: Cross multiply
    450.29x = 621.42 × 253.82
  4. Step 4: Simplify right side
    450.29x = 157,725.72
  5. Step 5: Solve for x
    x = 157,725.72/450.29
  6. Step 6: Final answer
    x = 350.28

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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.