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Finding the Fourth Proportional to 255.69, 383.77 and 169.13

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Solution

The fourth proportional to 255.69, 383.77 and 169.13 is: 253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.69 : 383.77 = 169.13 : x
  2. Step 2: Convert to fraction form
    255.69/383.77 = 169.13/x
  3. Step 3: Cross multiply
    255.69x = 383.77 × 169.13
  4. Step 4: Simplify right side
    255.69x = 64,907.02
  5. Step 5: Solve for x
    x = 64,907.02/255.69
  6. Step 6: Final answer
    x = 253.85

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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.