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Finding the Fourth Proportional to 170.17, 256.64 and 156.80

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Solution

The fourth proportional to 170.17, 256.64 and 156.80 is: 236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.17 : 256.64 = 156.80 : x
  2. Step 2: Convert to fraction form
    170.17/256.64 = 156.80/x
  3. Step 3: Cross multiply
    170.17x = 256.64 × 156.80
  4. Step 4: Simplify right side
    170.17x = 40,241.01
  5. Step 5: Solve for x
    x = 40,241.01/170.17
  6. Step 6: Final answer
    x = 236.48

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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.