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Finding the Fourth Proportional to 58.25, 87.71 and 50.73

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Solution

The fourth proportional to 58.25, 87.71 and 50.73 is: 76.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.25 : 87.71 = 50.73 : x
  2. Step 2: Convert to fraction form
    58.25/87.71 = 50.73/x
  3. Step 3: Cross multiply
    58.25x = 87.71 × 50.73
  4. Step 4: Simplify right side
    58.25x = 4,449.14
  5. Step 5: Solve for x
    x = 4,449.14/58.25
  6. Step 6: Final answer
    x = 76.39

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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.