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Finding the Fourth Proportional to 171.11, 255.35 and 152.88

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Solution

The fourth proportional to 171.11, 255.35 and 152.88 is: 228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.11 : 255.35 = 152.88 : x
  2. Step 2: Convert to fraction form
    171.11/255.35 = 152.88/x
  3. Step 3: Cross multiply
    171.11x = 255.35 × 152.88
  4. Step 4: Simplify right side
    171.11x = 39,037.14
  5. Step 5: Solve for x
    x = 39,037.14/171.11
  6. Step 6: Final answer
    x = 228.15

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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.