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Finding the Fourth Proportional to 304.64, 454.86 and 271.84

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Solution

The fourth proportional to 304.64, 454.86 and 271.84 is: 405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.64 : 454.86 = 271.84 : x
  2. Step 2: Convert to fraction form
    304.64/454.86 = 271.84/x
  3. Step 3: Cross multiply
    304.64x = 454.86 × 271.84
  4. Step 4: Simplify right side
    304.64x = 123,649.14
  5. Step 5: Solve for x
    x = 123,649.14/304.64
  6. Step 6: Final answer
    x = 405.89

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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.