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Finding the Fourth Proportional to 85.00, 117.26 and 51.77

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Solution

The fourth proportional to 85.00, 117.26 and 51.77 is: 71.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.00 : 117.26 = 51.77 : x
  2. Step 2: Convert to fraction form
    85.00/117.26 = 51.77/x
  3. Step 3: Cross multiply
    85.00x = 117.26 × 51.77
  4. Step 4: Simplify right side
    85.00x = 6,070.55
  5. Step 5: Solve for x
    x = 6,070.55/85.00
  6. Step 6: Final answer
    x = 71.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.