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Finding the Fourth Proportional to 74.00, 110.85 and 55.77

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Solution

The fourth proportional to 74.00, 110.85 and 55.77 is: 83.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.00 : 110.85 = 55.77 : x
  2. Step 2: Convert to fraction form
    74.00/110.85 = 55.77/x
  3. Step 3: Cross multiply
    74.00x = 110.85 × 55.77
  4. Step 4: Simplify right side
    74.00x = 6,181.48
  5. Step 5: Solve for x
    x = 6,181.48/74.00
  6. Step 6: Final answer
    x = 83.53

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Why These Related Problems?

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