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Finding the Fourth Proportional to 305.79, 457.88 and 252.33

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Solution

The fourth proportional to 305.79, 457.88 and 252.33 is: 377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.79 : 457.88 = 252.33 : x
  2. Step 2: Convert to fraction form
    305.79/457.88 = 252.33/x
  3. Step 3: Cross multiply
    305.79x = 457.88 × 252.33
  4. Step 4: Simplify right side
    305.79x = 115,535.60
  5. Step 5: Solve for x
    x = 115,535.60/305.79
  6. Step 6: Final answer
    x = 377.83

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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.