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Finding the Fourth Proportional to 305.16, 456.80 and 217.68

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Solution

The fourth proportional to 305.16, 456.80 and 217.68 is: 325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.16 : 456.80 = 217.68 : x
  2. Step 2: Convert to fraction form
    305.16/456.80 = 217.68/x
  3. Step 3: Cross multiply
    305.16x = 456.80 × 217.68
  4. Step 4: Simplify right side
    305.16x = 99,435.14
  5. Step 5: Solve for x
    x = 99,435.14/305.16
  6. Step 6: Final answer
    x = 325.85

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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.