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Finding the Fourth Proportional to 450.34, 621.41 and 253.81

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Solution

The fourth proportional to 450.34, 621.41 and 253.81 is: 350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.34 : 621.41 = 253.81 : x
  2. Step 2: Convert to fraction form
    450.34/621.41 = 253.81/x
  3. Step 3: Cross multiply
    450.34x = 621.41 × 253.81
  4. Step 4: Simplify right side
    450.34x = 157,720.07
  5. Step 5: Solve for x
    x = 157,720.07/450.34
  6. Step 6: Final answer
    x = 350.22

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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.