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Finding the Fourth Proportional to 305.53, 457.51 and 168.43

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Solution

The fourth proportional to 305.53, 457.51 and 168.43 is: 252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.53 : 457.51 = 168.43 : x
  2. Step 2: Convert to fraction form
    305.53/457.51 = 168.43/x
  3. Step 3: Cross multiply
    305.53x = 457.51 × 168.43
  4. Step 4: Simplify right side
    305.53x = 77,058.41
  5. Step 5: Solve for x
    x = 77,058.41/305.53
  6. Step 6: Final answer
    x = 252.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.