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Finding the Fourth Proportional to 255.34, 381.59 and 232.66

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Solution

The fourth proportional to 255.34, 381.59 and 232.66 is: 347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.34 : 381.59 = 232.66 : x
  2. Step 2: Convert to fraction form
    255.34/381.59 = 232.66/x
  3. Step 3: Cross multiply
    255.34x = 381.59 × 232.66
  4. Step 4: Simplify right side
    255.34x = 88,780.73
  5. Step 5: Solve for x
    x = 88,780.73/255.34
  6. Step 6: Final answer
    x = 347.70

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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.