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Finding the Fourth Proportional to 168.96, 253.36 and 72.80

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Solution

The fourth proportional to 168.96, 253.36 and 72.80 is: 109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.96 : 253.36 = 72.80 : x
  2. Step 2: Convert to fraction form
    168.96/253.36 = 72.80/x
  3. Step 3: Cross multiply
    168.96x = 253.36 × 72.80
  4. Step 4: Simplify right side
    168.96x = 18,444.61
  5. Step 5: Solve for x
    x = 18,444.61/168.96
  6. Step 6: Final answer
    x = 109.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.