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Finding the Fourth Proportional to 301.88, 451.85 and 253.19

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Solution

The fourth proportional to 301.88, 451.85 and 253.19 is: 378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.88 : 451.85 = 253.19 : x
  2. Step 2: Convert to fraction form
    301.88/451.85 = 253.19/x
  3. Step 3: Cross multiply
    301.88x = 451.85 × 253.19
  4. Step 4: Simplify right side
    301.88x = 114,400.38
  5. Step 5: Solve for x
    x = 114,400.38/301.88
  6. Step 6: Final answer
    x = 378.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.