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Finding the Fourth Proportional to 170.69, 256.05 and 55.09

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Solution

The fourth proportional to 170.69, 256.05 and 55.09 is: 82.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.69 : 256.05 = 55.09 : x
  2. Step 2: Convert to fraction form
    170.69/256.05 = 55.09/x
  3. Step 3: Cross multiply
    170.69x = 256.05 × 55.09
  4. Step 4: Simplify right side
    170.69x = 14,106.80
  5. Step 5: Solve for x
    x = 14,106.80/170.69
  6. Step 6: Final answer
    x = 82.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.