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Finding the Fourth Proportional to 305.28, 456.12 and 303.48

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Solution

The fourth proportional to 305.28, 456.12 and 303.48 is: 453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.28 : 456.12 = 303.48 : x
  2. Step 2: Convert to fraction form
    305.28/456.12 = 303.48/x
  3. Step 3: Cross multiply
    305.28x = 456.12 × 303.48
  4. Step 4: Simplify right side
    305.28x = 138,423.30
  5. Step 5: Solve for x
    x = 138,423.30/305.28
  6. Step 6: Final answer
    x = 453.43

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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.