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Finding the Fourth Proportional to 255.54, 382.14 and 157.74

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Solution

The fourth proportional to 255.54, 382.14 and 157.74 is: 235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.54 : 382.14 = 157.74 : x
  2. Step 2: Convert to fraction form
    255.54/382.14 = 157.74/x
  3. Step 3: Cross multiply
    255.54x = 382.14 × 157.74
  4. Step 4: Simplify right side
    255.54x = 60,278.76
  5. Step 5: Solve for x
    x = 60,278.76/255.54
  6. Step 6: Final answer
    x = 235.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.