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Finding the Fourth Proportional to 170.53, 256.99 and 153.43

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Solution

The fourth proportional to 170.53, 256.99 and 153.43 is: 231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.53 : 256.99 = 153.43 : x
  2. Step 2: Convert to fraction form
    170.53/256.99 = 153.43/x
  3. Step 3: Cross multiply
    170.53x = 256.99 × 153.43
  4. Step 4: Simplify right side
    170.53x = 39,429.98
  5. Step 5: Solve for x
    x = 39,429.98/170.53
  6. Step 6: Final answer
    x = 231.22

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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.