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Finding the Fourth Proportional to 192.60, 287.80 and 167.90

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Solution

The fourth proportional to 192.60, 287.80 and 167.90 is: 250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 287.80 = 167.90 : x
  2. Step 2: Convert to fraction form
    192.60/287.80 = 167.90/x
  3. Step 3: Cross multiply
    192.60x = 287.80 × 167.90
  4. Step 4: Simplify right side
    192.60x = 48,319.76
  5. Step 5: Solve for x
    x = 48,319.76/192.60
  6. Step 6: Final answer
    x = 250.88

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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.