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Finding the Fourth Proportional to 171.14, 255.47 and 152.91

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Solution

The fourth proportional to 171.14, 255.47 and 152.91 is: 228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 255.47 = 152.91 : x
  2. Step 2: Convert to fraction form
    171.14/255.47 = 152.91/x
  3. Step 3: Cross multiply
    171.14x = 255.47 × 152.91
  4. Step 4: Simplify right side
    171.14x = 39,063.15
  5. Step 5: Solve for x
    x = 39,063.15/171.14
  6. Step 6: Final answer
    x = 228.26

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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.