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Finding the Fourth Proportional to 255.60, 385.20 and 241.20

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Solution

The fourth proportional to 255.60, 385.20 and 241.20 is: 363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.60 : 385.20 = 241.20 : x
  2. Step 2: Convert to fraction form
    255.60/385.20 = 241.20/x
  3. Step 3: Cross multiply
    255.60x = 385.20 × 241.20
  4. Step 4: Simplify right side
    255.60x = 92,910.24
  5. Step 5: Solve for x
    x = 92,910.24/255.60
  6. Step 6: Final answer
    x = 363.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.