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Finding the Fourth Proportional to 255.62, 381.57 and 234.02

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Solution

The fourth proportional to 255.62, 381.57 and 234.02 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.62 : 381.57 = 234.02 : x
  2. Step 2: Convert to fraction form
    255.62/381.57 = 234.02/x
  3. Step 3: Cross multiply
    255.62x = 381.57 × 234.02
  4. Step 4: Simplify right side
    255.62x = 89,293.84
  5. Step 5: Solve for x
    x = 89,293.84/255.62
  6. Step 6: Final answer
    x = 349.32

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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.