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Finding the Fourth Proportional to 305.04, 454.86 and 272.64

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Solution

The fourth proportional to 305.04, 454.86 and 272.64 is: 406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.04 : 454.86 = 272.64 : x
  2. Step 2: Convert to fraction form
    305.04/454.86 = 272.64/x
  3. Step 3: Cross multiply
    305.04x = 454.86 × 272.64
  4. Step 4: Simplify right side
    305.04x = 124,013.03
  5. Step 5: Solve for x
    x = 124,013.03/305.04
  6. Step 6: Final answer
    x = 406.55

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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.