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Finding the Fourth Proportional to 301.80, 451.33 and 258.06

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Solution

The fourth proportional to 301.80, 451.33 and 258.06 is: 385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.80 : 451.33 = 258.06 : x
  2. Step 2: Convert to fraction form
    301.80/451.33 = 258.06/x
  3. Step 3: Cross multiply
    301.80x = 451.33 × 258.06
  4. Step 4: Simplify right side
    301.80x = 116,470.22
  5. Step 5: Solve for x
    x = 116,470.22/301.80
  6. Step 6: Final answer
    x = 385.92

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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.