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Finding the Fourth Proportional to 172.32, 259.80 and 160.57

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Solution

The fourth proportional to 172.32, 259.80 and 160.57 is: 242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.32 : 259.80 = 160.57 : x
  2. Step 2: Convert to fraction form
    172.32/259.80 = 160.57/x
  3. Step 3: Cross multiply
    172.32x = 259.80 × 160.57
  4. Step 4: Simplify right side
    172.32x = 41,716.09
  5. Step 5: Solve for x
    x = 41,716.09/172.32
  6. Step 6: Final answer
    x = 242.08

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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.