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Finding the Fourth Proportional to 97.37, 145.89 and 61.28

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Solution

The fourth proportional to 97.37, 145.89 and 61.28 is: 91.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.37 : 145.89 = 61.28 : x
  2. Step 2: Convert to fraction form
    97.37/145.89 = 61.28/x
  3. Step 3: Cross multiply
    97.37x = 145.89 × 61.28
  4. Step 4: Simplify right side
    97.37x = 8,939.41
  5. Step 5: Solve for x
    x = 8,939.41/97.37
  6. Step 6: Final answer
    x = 91.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.