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Finding the Fourth Proportional to 301.58, 451.65 and 258.00

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Solution

The fourth proportional to 301.58, 451.65 and 258.00 is: 386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.58 : 451.65 = 258.00 : x
  2. Step 2: Convert to fraction form
    301.58/451.65 = 258.00/x
  3. Step 3: Cross multiply
    301.58x = 451.65 × 258.00
  4. Step 4: Simplify right side
    301.58x = 116,524.97
  5. Step 5: Solve for x
    x = 116,524.97/301.58
  6. Step 6: Final answer
    x = 386.38

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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.