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Finding the Fourth Proportional to 57.99, 85.80 and 57.81

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Solution

The fourth proportional to 57.99, 85.80 and 57.81 is: 85.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.99 : 85.80 = 57.81 : x
  2. Step 2: Convert to fraction form
    57.99/85.80 = 57.81/x
  3. Step 3: Cross multiply
    57.99x = 85.80 × 57.81
  4. Step 4: Simplify right side
    57.99x = 4,960.10
  5. Step 5: Solve for x
    x = 4,960.10/57.99
  6. Step 6: Final answer
    x = 85.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.