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Finding the Fourth Proportional to 84.99, 117.25 and 50.02

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Solution

The fourth proportional to 84.99, 117.25 and 50.02 is: 69.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.99 : 117.25 = 50.02 : x
  2. Step 2: Convert to fraction form
    84.99/117.25 = 50.02/x
  3. Step 3: Cross multiply
    84.99x = 117.25 × 50.02
  4. Step 4: Simplify right side
    84.99x = 5,864.01
  5. Step 5: Solve for x
    x = 5,864.01/84.99
  6. Step 6: Final answer
    x = 69.00

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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.