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Finding the Fourth Proportional to 414.64, 621.60 and 171.28

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Solution

The fourth proportional to 414.64, 621.60 and 171.28 is: 256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.64 : 621.60 = 171.28 : x
  2. Step 2: Convert to fraction form
    414.64/621.60 = 171.28/x
  3. Step 3: Cross multiply
    414.64x = 621.60 × 171.28
  4. Step 4: Simplify right side
    414.64x = 106,467.65
  5. Step 5: Solve for x
    x = 106,467.65/414.64
  6. Step 6: Final answer
    x = 256.77

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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.