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Finding the Fourth Proportional to 305.35, 457.81 and 142.94

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Solution

The fourth proportional to 305.35, 457.81 and 142.94 is: 214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.35 : 457.81 = 142.94 : x
  2. Step 2: Convert to fraction form
    305.35/457.81 = 142.94/x
  3. Step 3: Cross multiply
    305.35x = 457.81 × 142.94
  4. Step 4: Simplify right side
    305.35x = 65,439.36
  5. Step 5: Solve for x
    x = 65,439.36/305.35
  6. Step 6: Final answer
    x = 214.31

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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.