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Finding the Fourth Proportional to 170.25, 253.70 and 164.74

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Solution

The fourth proportional to 170.25, 253.70 and 164.74 is: 245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.25 : 253.70 = 164.74 : x
  2. Step 2: Convert to fraction form
    170.25/253.70 = 164.74/x
  3. Step 3: Cross multiply
    170.25x = 253.70 × 164.74
  4. Step 4: Simplify right side
    170.25x = 41,792.45
  5. Step 5: Solve for x
    x = 41,792.45/170.25
  6. Step 6: Final answer
    x = 245.48

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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.