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Finding the Fourth Proportional to 255.12, 380.88 and 229.20

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Solution

The fourth proportional to 255.12, 380.88 and 229.20 is: 342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.12 : 380.88 = 229.20 : x
  2. Step 2: Convert to fraction form
    255.12/380.88 = 229.20/x
  3. Step 3: Cross multiply
    255.12x = 380.88 × 229.20
  4. Step 4: Simplify right side
    255.12x = 87,297.70
  5. Step 5: Solve for x
    x = 87,297.70/255.12
  6. Step 6: Final answer
    x = 342.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.