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Finding the Fourth Proportional to 255.24, 382.88 and 159.66

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Solution

The fourth proportional to 255.24, 382.88 and 159.66 is: 239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 382.88 = 159.66 : x
  2. Step 2: Convert to fraction form
    255.24/382.88 = 159.66/x
  3. Step 3: Cross multiply
    255.24x = 382.88 × 159.66
  4. Step 4: Simplify right side
    255.24x = 61,130.62
  5. Step 5: Solve for x
    x = 61,130.62/255.24
  6. Step 6: Final answer
    x = 239.50

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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.