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Finding the Fourth Proportional to 116.88, 176.06 and 109.68

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Solution

The fourth proportional to 116.88, 176.06 and 109.68 is: 165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.88 : 176.06 = 109.68 : x
  2. Step 2: Convert to fraction form
    116.88/176.06 = 109.68/x
  3. Step 3: Cross multiply
    116.88x = 176.06 × 109.68
  4. Step 4: Simplify right side
    116.88x = 19,309.71
  5. Step 5: Solve for x
    x = 19,309.71/116.88
  6. Step 6: Final answer
    x = 165.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.