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Finding the Fourth Proportional to 301.32, 450.03 and 275.82

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Solution

The fourth proportional to 301.32, 450.03 and 275.82 is: 411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.32 : 450.03 = 275.82 : x
  2. Step 2: Convert to fraction form
    301.32/450.03 = 275.82/x
  3. Step 3: Cross multiply
    301.32x = 450.03 × 275.82
  4. Step 4: Simplify right side
    301.32x = 124,127.27
  5. Step 5: Solve for x
    x = 124,127.27/301.32
  6. Step 6: Final answer
    x = 411.95

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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.