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Finding the Fourth Proportional to 305.82, 457.94 and 213.15

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Solution

The fourth proportional to 305.82, 457.94 and 213.15 is: 319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.82 : 457.94 = 213.15 : x
  2. Step 2: Convert to fraction form
    305.82/457.94 = 213.15/x
  3. Step 3: Cross multiply
    305.82x = 457.94 × 213.15
  4. Step 4: Simplify right side
    305.82x = 97,608.15
  5. Step 5: Solve for x
    x = 97,608.15/305.82
  6. Step 6: Final answer
    x = 319.17

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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.