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Finding the Fourth Proportional to 57.99, 86.30 and 55.83

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Solution

The fourth proportional to 57.99, 86.30 and 55.83 is: 83.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.99 : 86.30 = 55.83 : x
  2. Step 2: Convert to fraction form
    57.99/86.30 = 55.83/x
  3. Step 3: Cross multiply
    57.99x = 86.30 × 55.83
  4. Step 4: Simplify right side
    57.99x = 4,818.27
  5. Step 5: Solve for x
    x = 4,818.27/57.99
  6. Step 6: Final answer
    x = 83.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.