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Finding the Fourth Proportional to 305.50, 457.54 and 168.56

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Solution

The fourth proportional to 305.50, 457.54 and 168.56 is: 252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.50 : 457.54 = 168.56 : x
  2. Step 2: Convert to fraction form
    305.50/457.54 = 168.56/x
  3. Step 3: Cross multiply
    305.50x = 457.54 × 168.56
  4. Step 4: Simplify right side
    305.50x = 77,122.94
  5. Step 5: Solve for x
    x = 77,122.94/305.50
  6. Step 6: Final answer
    x = 252.45

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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.