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Finding the Fourth Proportional to 172.09, 256.88 and 159.40

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Solution

The fourth proportional to 172.09, 256.88 and 159.40 is: 237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.09 : 256.88 = 159.40 : x
  2. Step 2: Convert to fraction form
    172.09/256.88 = 159.40/x
  3. Step 3: Cross multiply
    172.09x = 256.88 × 159.40
  4. Step 4: Simplify right side
    172.09x = 40,947.62
  5. Step 5: Solve for x
    x = 40,947.62/172.09
  6. Step 6: Final answer
    x = 237.94

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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.