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Finding the Fourth Proportional to 304.68, 455.01 and 249.92

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Solution

The fourth proportional to 304.68, 455.01 and 249.92 is: 373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.68 : 455.01 = 249.92 : x
  2. Step 2: Convert to fraction form
    304.68/455.01 = 249.92/x
  3. Step 3: Cross multiply
    304.68x = 455.01 × 249.92
  4. Step 4: Simplify right side
    304.68x = 113,716.10
  5. Step 5: Solve for x
    x = 113,716.10/304.68
  6. Step 6: Final answer
    x = 373.23

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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.