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Finding the Fourth Proportional to 171.36, 255.72 and 153.13

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Solution

The fourth proportional to 171.36, 255.72 and 153.13 is: 228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.36 : 255.72 = 153.13 : x
  2. Step 2: Convert to fraction form
    171.36/255.72 = 153.13/x
  3. Step 3: Cross multiply
    171.36x = 255.72 × 153.13
  4. Step 4: Simplify right side
    171.36x = 39,158.40
  5. Step 5: Solve for x
    x = 39,158.40/171.36
  6. Step 6: Final answer
    x = 228.52

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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.