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Finding the Fourth Proportional to 305.76, 456.03 and 278.22

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Solution

The fourth proportional to 305.76, 456.03 and 278.22 is: 414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 456.03 = 278.22 : x
  2. Step 2: Convert to fraction form
    305.76/456.03 = 278.22/x
  3. Step 3: Cross multiply
    305.76x = 456.03 × 278.22
  4. Step 4: Simplify right side
    305.76x = 126,876.67
  5. Step 5: Solve for x
    x = 126,876.67/305.76
  6. Step 6: Final answer
    x = 414.96

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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.