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Finding the Fourth Proportional to 170.16, 253.70 and 164.04

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Solution

The fourth proportional to 170.16, 253.70 and 164.04 is: 244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 253.70 = 164.04 : x
  2. Step 2: Convert to fraction form
    170.16/253.70 = 164.04/x
  3. Step 3: Cross multiply
    170.16x = 253.70 × 164.04
  4. Step 4: Simplify right side
    170.16x = 41,616.13
  5. Step 5: Solve for x
    x = 41,616.13/170.16
  6. Step 6: Final answer
    x = 244.57

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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.