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Finding the Fourth Proportional to 305.96, 457.94 and 263.72

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Solution

The fourth proportional to 305.96, 457.94 and 263.72 is: 394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.96 : 457.94 = 263.72 : x
  2. Step 2: Convert to fraction form
    305.96/457.94 = 263.72/x
  3. Step 3: Cross multiply
    305.96x = 457.94 × 263.72
  4. Step 4: Simplify right side
    305.96x = 120,767.94
  5. Step 5: Solve for x
    x = 120,767.94/305.96
  6. Step 6: Final answer
    x = 394.72

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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.