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Finding the Fourth Proportional to 72.14, 99.41 and 58.37

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Solution

The fourth proportional to 72.14, 99.41 and 58.37 is: 80.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 99.41 = 58.37 : x
  2. Step 2: Convert to fraction form
    72.14/99.41 = 58.37/x
  3. Step 3: Cross multiply
    72.14x = 99.41 × 58.37
  4. Step 4: Simplify right side
    72.14x = 5,801.77
  5. Step 5: Solve for x
    x = 5,801.77/72.14
  6. Step 6: Final answer
    x = 80.43

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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.