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Finding the Fourth Proportional to 85.49, 117.74 and 79.00

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Solution

The fourth proportional to 85.49, 117.74 and 79.00 is: 108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.49 : 117.74 = 79.00 : x
  2. Step 2: Convert to fraction form
    85.49/117.74 = 79.00/x
  3. Step 3: Cross multiply
    85.49x = 117.74 × 79.00
  4. Step 4: Simplify right side
    85.49x = 9,301.36
  5. Step 5: Solve for x
    x = 9,301.36/85.49
  6. Step 6: Final answer
    x = 108.81

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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.