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Finding the Fourth Proportional to 85.03, 117.29 and 65.33

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Solution

The fourth proportional to 85.03, 117.29 and 65.33 is: 90.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.03 : 117.29 = 65.33 : x
  2. Step 2: Convert to fraction form
    85.03/117.29 = 65.33/x
  3. Step 3: Cross multiply
    85.03x = 117.29 × 65.33
  4. Step 4: Simplify right side
    85.03x = 7,662.75
  5. Step 5: Solve for x
    x = 7,662.75/85.03
  6. Step 6: Final answer
    x = 90.12

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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.