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Finding the Fourth Proportional to 304.11, 454.20 and 275.16

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Solution

The fourth proportional to 304.11, 454.20 and 275.16 is: 410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.11 : 454.20 = 275.16 : x
  2. Step 2: Convert to fraction form
    304.11/454.20 = 275.16/x
  3. Step 3: Cross multiply
    304.11x = 454.20 × 275.16
  4. Step 4: Simplify right side
    304.11x = 124,977.67
  5. Step 5: Solve for x
    x = 124,977.67/304.11
  6. Step 6: Final answer
    x = 410.96

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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.