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Finding the Fourth Proportional to 305.96, 456.69 and 280.31

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Solution

The fourth proportional to 305.96, 456.69 and 280.31 is: 418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.96 : 456.69 = 280.31 : x
  2. Step 2: Convert to fraction form
    305.96/456.69 = 280.31/x
  3. Step 3: Cross multiply
    305.96x = 456.69 × 280.31
  4. Step 4: Simplify right side
    305.96x = 128,014.77
  5. Step 5: Solve for x
    x = 128,014.77/305.96
  6. Step 6: Final answer
    x = 418.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.