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Finding the Fourth Proportional to 301.84, 451.97 and 258.78

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Solution

The fourth proportional to 301.84, 451.97 and 258.78 is: 387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.84 : 451.97 = 258.78 : x
  2. Step 2: Convert to fraction form
    301.84/451.97 = 258.78/x
  3. Step 3: Cross multiply
    301.84x = 451.97 × 258.78
  4. Step 4: Simplify right side
    301.84x = 116,959.50
  5. Step 5: Solve for x
    x = 116,959.50/301.84
  6. Step 6: Final answer
    x = 387.49

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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.