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Finding the Fourth Proportional to 182.64, 275.40 and 171.96

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Solution

The fourth proportional to 182.64, 275.40 and 171.96 is: 259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.64 : 275.40 = 171.96 : x
  2. Step 2: Convert to fraction form
    182.64/275.40 = 171.96/x
  3. Step 3: Cross multiply
    182.64x = 275.40 × 171.96
  4. Step 4: Simplify right side
    182.64x = 47,357.78
  5. Step 5: Solve for x
    x = 47,357.78/182.64
  6. Step 6: Final answer
    x = 259.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.