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Finding the Fourth Proportional to 170.21, 256.51 and 161.98

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Solution

The fourth proportional to 170.21, 256.51 and 161.98 is: 244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.21 : 256.51 = 161.98 : x
  2. Step 2: Convert to fraction form
    170.21/256.51 = 161.98/x
  3. Step 3: Cross multiply
    170.21x = 256.51 × 161.98
  4. Step 4: Simplify right side
    170.21x = 41,549.05
  5. Step 5: Solve for x
    x = 41,549.05/170.21
  6. Step 6: Final answer
    x = 244.10

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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.