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Finding the Fourth Proportional to 305.46, 459 and 296.55

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Solution

The fourth proportional to 305.46, 459 and 296.55 is: 445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.46 : 459 = 296.55 : x
  2. Step 2: Convert to fraction form
    305.46/459 = 296.55/x
  3. Step 3: Cross multiply
    305.46x = 459 × 296.55
  4. Step 4: Simplify right side
    305.46x = 136,116.45
  5. Step 5: Solve for x
    x = 136,116.45/305.46
  6. Step 6: Final answer
    x = 445.61

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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.