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Finding the Fourth Proportional to 57.00, 85.01 and 55.78

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Solution

The fourth proportional to 57.00, 85.01 and 55.78 is: 83.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.00 : 85.01 = 55.78 : x
  2. Step 2: Convert to fraction form
    57.00/85.01 = 55.78/x
  3. Step 3: Cross multiply
    57.00x = 85.01 × 55.78
  4. Step 4: Simplify right side
    57.00x = 4,741.72
  5. Step 5: Solve for x
    x = 4,741.72/57.00
  6. Step 6: Final answer
    x = 83.20

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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.