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Finding the Fourth Proportional to 301.70, 452.10 and 255.80

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Solution

The fourth proportional to 301.70, 452.10 and 255.80 is: 383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.70 : 452.10 = 255.80 : x
  2. Step 2: Convert to fraction form
    301.70/452.10 = 255.80/x
  3. Step 3: Cross multiply
    301.70x = 452.10 × 255.80
  4. Step 4: Simplify right side
    301.70x = 115,647.18
  5. Step 5: Solve for x
    x = 115,647.18/301.70
  6. Step 6: Final answer
    x = 383.32

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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.