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Finding the Fourth Proportional to 75, 103.20 and 58.56

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Solution

The fourth proportional to 75, 103.20 and 58.56 is: 80.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 103.20 = 58.56 : x
  2. Step 2: Convert to fraction form
    75/103.20 = 58.56/x
  3. Step 3: Cross multiply
    75x = 103.20 × 58.56
  4. Step 4: Simplify right side
    75x = 6,043.39
  5. Step 5: Solve for x
    x = 6,043.39/75
  6. Step 6: Final answer
    x = 80.58

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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.