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Finding the Fourth Proportional to 325.63, 488.71 and 171.65

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Solution

The fourth proportional to 325.63, 488.71 and 171.65 is: 257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.63 : 488.71 = 171.65 : x
  2. Step 2: Convert to fraction form
    325.63/488.71 = 171.65/x
  3. Step 3: Cross multiply
    325.63x = 488.71 × 171.65
  4. Step 4: Simplify right side
    325.63x = 83,886.21
  5. Step 5: Solve for x
    x = 83,886.21/325.63
  6. Step 6: Final answer
    x = 257.61

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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.