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Finding the Fourth Proportional to 116.48, 160.77 and 72.80

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Solution

The fourth proportional to 116.48, 160.77 and 72.80 is: 100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.48 : 160.77 = 72.80 : x
  2. Step 2: Convert to fraction form
    116.48/160.77 = 72.80/x
  3. Step 3: Cross multiply
    116.48x = 160.77 × 72.80
  4. Step 4: Simplify right side
    116.48x = 11,703.25
  5. Step 5: Solve for x
    x = 11,703.25/116.48
  6. Step 6: Final answer
    x = 100.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.