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Finding the Fourth Proportional to 170.16, 256.64 and 168.34

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Solution

The fourth proportional to 170.16, 256.64 and 168.34 is: 253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 256.64 = 168.34 : x
  2. Step 2: Convert to fraction form
    170.16/256.64 = 168.34/x
  3. Step 3: Cross multiply
    170.16x = 256.64 × 168.34
  4. Step 4: Simplify right side
    170.16x = 43,202.78
  5. Step 5: Solve for x
    x = 43,202.78/170.16
  6. Step 6: Final answer
    x = 253.90

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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.