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Finding the Fourth Proportional to 172, 256.21 and 164.24

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Solution

The fourth proportional to 172, 256.21 and 164.24 is: 244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172 : 256.21 = 164.24 : x
  2. Step 2: Convert to fraction form
    172/256.21 = 164.24/x
  3. Step 3: Cross multiply
    172x = 256.21 × 164.24
  4. Step 4: Simplify right side
    172x = 42,079.93
  5. Step 5: Solve for x
    x = 42,079.93/172
  6. Step 6: Final answer
    x = 244.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.