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Finding the Fourth Proportional to 60.93, 91.37 and 20.34

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Solution

The fourth proportional to 60.93, 91.37 and 20.34 is: 30.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.93 : 91.37 = 20.34 : x
  2. Step 2: Convert to fraction form
    60.93/91.37 = 20.34/x
  3. Step 3: Cross multiply
    60.93x = 91.37 × 20.34
  4. Step 4: Simplify right side
    60.93x = 1,858.52
  5. Step 5: Solve for x
    x = 1,858.52/60.93
  6. Step 6: Final answer
    x = 30.50

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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.