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Finding the Fourth Proportional to 301.76, 454.67 and 272.90

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Solution

The fourth proportional to 301.76, 454.67 and 272.90 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.76 : 454.67 = 272.90 : x
  2. Step 2: Convert to fraction form
    301.76/454.67 = 272.90/x
  3. Step 3: Cross multiply
    301.76x = 454.67 × 272.90
  4. Step 4: Simplify right side
    301.76x = 124,079.22
  5. Step 5: Solve for x
    x = 124,079.22/301.76
  6. Step 6: Final answer
    x = 411.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.