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Finding the Fourth Proportional to 301.85, 452 and 258.80

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Solution

The fourth proportional to 301.85, 452 and 258.80 is: 387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.85 : 452 = 258.80 : x
  2. Step 2: Convert to fraction form
    301.85/452 = 258.80/x
  3. Step 3: Cross multiply
    301.85x = 452 × 258.80
  4. Step 4: Simplify right side
    301.85x = 116,977.60
  5. Step 5: Solve for x
    x = 116,977.60/301.85
  6. Step 6: Final answer
    x = 387.54

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