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Finding the Fourth Proportional to 57.96, 87.00 and 30.93

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Solution

The fourth proportional to 57.96, 87.00 and 30.93 is: 46.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.96 : 87.00 = 30.93 : x
  2. Step 2: Convert to fraction form
    57.96/87.00 = 30.93/x
  3. Step 3: Cross multiply
    57.96x = 87.00 × 30.93
  4. Step 4: Simplify right side
    57.96x = 2,690.47
  5. Step 5: Solve for x
    x = 2,690.47/57.96
  6. Step 6: Final answer
    x = 46.42

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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.