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Finding the Fourth Proportional to 255.54, 381.30 and 240

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Solution

The fourth proportional to 255.54, 381.30 and 240 is: 358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.54 : 381.30 = 240 : x
  2. Step 2: Convert to fraction form
    255.54/381.30 = 240/x
  3. Step 3: Cross multiply
    255.54x = 381.30 × 240
  4. Step 4: Simplify right side
    255.54x = 91,512
  5. Step 5: Solve for x
    x = 91,512/255.54
  6. Step 6: Final answer
    x = 358.11

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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.