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Finding the Fourth Proportional to 305.34, 457.81 and 112.94

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Solution

The fourth proportional to 305.34, 457.81 and 112.94 is: 169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 457.81 = 112.94 : x
  2. Step 2: Convert to fraction form
    305.34/457.81 = 112.94/x
  3. Step 3: Cross multiply
    305.34x = 457.81 × 112.94
  4. Step 4: Simplify right side
    305.34x = 51,705.06
  5. Step 5: Solve for x
    x = 51,705.06/305.34
  6. Step 6: Final answer
    x = 169.34

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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.