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Finding the Fourth Proportional to 107.79, 160.86 and 103.47

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Solution

The fourth proportional to 107.79, 160.86 and 103.47 is: 154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.79 : 160.86 = 103.47 : x
  2. Step 2: Convert to fraction form
    107.79/160.86 = 103.47/x
  3. Step 3: Cross multiply
    107.79x = 160.86 × 103.47
  4. Step 4: Simplify right side
    107.79x = 16,644.18
  5. Step 5: Solve for x
    x = 16,644.18/107.79
  6. Step 6: Final answer
    x = 154.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.