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Finding the Fourth Proportional to 172.04, 256.43 and 160.49

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Solution

The fourth proportional to 172.04, 256.43 and 160.49 is: 239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.04 : 256.43 = 160.49 : x
  2. Step 2: Convert to fraction form
    172.04/256.43 = 160.49/x
  3. Step 3: Cross multiply
    172.04x = 256.43 × 160.49
  4. Step 4: Simplify right side
    172.04x = 41,155.49
  5. Step 5: Solve for x
    x = 41,155.49/172.04
  6. Step 6: Final answer
    x = 239.23

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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.