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Finding the Fourth Proportional to 305.92, 455.52 and 301.56

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Solution

The fourth proportional to 305.92, 455.52 and 301.56 is: 449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.92 : 455.52 = 301.56 : x
  2. Step 2: Convert to fraction form
    305.92/455.52 = 301.56/x
  3. Step 3: Cross multiply
    305.92x = 455.52 × 301.56
  4. Step 4: Simplify right side
    305.92x = 137,366.61
  5. Step 5: Solve for x
    x = 137,366.61/305.92
  6. Step 6: Final answer
    x = 449.03

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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.