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Finding the Fourth Proportional to 305.46, 459.74 and 275.64

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Solution

The fourth proportional to 305.46, 459.74 and 275.64 is: 414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.46 : 459.74 = 275.64 : x
  2. Step 2: Convert to fraction form
    305.46/459.74 = 275.64/x
  3. Step 3: Cross multiply
    305.46x = 459.74 × 275.64
  4. Step 4: Simplify right side
    305.46x = 126,722.73
  5. Step 5: Solve for x
    x = 126,722.73/305.46
  6. Step 6: Final answer
    x = 414.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.