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Finding the Fourth Proportional to 116.21, 160.37 and 74.79

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Solution

The fourth proportional to 116.21, 160.37 and 74.79 is: 103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.21 : 160.37 = 74.79 : x
  2. Step 2: Convert to fraction form
    116.21/160.37 = 74.79/x
  3. Step 3: Cross multiply
    116.21x = 160.37 × 74.79
  4. Step 4: Simplify right side
    116.21x = 11,994.26
  5. Step 5: Solve for x
    x = 11,994.26/116.21
  6. Step 6: Final answer
    x = 103.21

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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.