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Finding the Fourth Proportional to 255.61, 382.35 and 174.27

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Solution

The fourth proportional to 255.61, 382.35 and 174.27 is: 260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.61 : 382.35 = 174.27 : x
  2. Step 2: Convert to fraction form
    255.61/382.35 = 174.27/x
  3. Step 3: Cross multiply
    255.61x = 382.35 × 174.27
  4. Step 4: Simplify right side
    255.61x = 66,632.13
  5. Step 5: Solve for x
    x = 66,632.13/255.61
  6. Step 6: Final answer
    x = 260.68

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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.