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Finding the Fourth Proportional to 305.29, 455.54 and 272.56

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Solution

The fourth proportional to 305.29, 455.54 and 272.56 is: 406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.29 : 455.54 = 272.56 : x
  2. Step 2: Convert to fraction form
    305.29/455.54 = 272.56/x
  3. Step 3: Cross multiply
    305.29x = 455.54 × 272.56
  4. Step 4: Simplify right side
    305.29x = 124,161.98
  5. Step 5: Solve for x
    x = 124,161.98/305.29
  6. Step 6: Final answer
    x = 406.70

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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.