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Finding the Fourth Proportional to 305.52, 454.72 and 299.12

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Solution

The fourth proportional to 305.52, 454.72 and 299.12 is: 445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.52 : 454.72 = 299.12 : x
  2. Step 2: Convert to fraction form
    305.52/454.72 = 299.12/x
  3. Step 3: Cross multiply
    305.52x = 454.72 × 299.12
  4. Step 4: Simplify right side
    305.52x = 136,015.85
  5. Step 5: Solve for x
    x = 136,015.85/305.52
  6. Step 6: Final answer
    x = 445.19

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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.