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Finding the Fourth Proportional to 107, 160.33 and 61.28

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Solution

The fourth proportional to 107, 160.33 and 61.28 is: 91.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107 : 160.33 = 61.28 : x
  2. Step 2: Convert to fraction form
    107/160.33 = 61.28/x
  3. Step 3: Cross multiply
    107x = 160.33 × 61.28
  4. Step 4: Simplify right side
    107x = 9,825.02
  5. Step 5: Solve for x
    x = 9,825.02/107
  6. Step 6: Final answer
    x = 91.82

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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.