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Finding the Fourth Proportional to 170.98, 256.57 and 164.70

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Solution

The fourth proportional to 170.98, 256.57 and 164.70 is: 247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.98 : 256.57 = 164.70 : x
  2. Step 2: Convert to fraction form
    170.98/256.57 = 164.70/x
  3. Step 3: Cross multiply
    170.98x = 256.57 × 164.70
  4. Step 4: Simplify right side
    170.98x = 42,256.26
  5. Step 5: Solve for x
    x = 42,256.26/170.98
  6. Step 6: Final answer
    x = 247.15

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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.