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Finding the Fourth Proportional to 171.90, 256.86 and 164.70

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Solution

The fourth proportional to 171.90, 256.86 and 164.70 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.90 : 256.86 = 164.70 : x
  2. Step 2: Convert to fraction form
    171.90/256.86 = 164.70/x
  3. Step 3: Cross multiply
    171.90x = 256.86 × 164.70
  4. Step 4: Simplify right side
    171.90x = 42,304.84
  5. Step 5: Solve for x
    x = 42,304.84/171.90
  6. Step 6: Final answer
    x = 246.10

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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.