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Finding the Fourth Proportional to 85.13, 117.44 and 52.39

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Solution

The fourth proportional to 85.13, 117.44 and 52.39 is: 72.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.13 : 117.44 = 52.39 : x
  2. Step 2: Convert to fraction form
    85.13/117.44 = 52.39/x
  3. Step 3: Cross multiply
    85.13x = 117.44 × 52.39
  4. Step 4: Simplify right side
    85.13x = 6,152.68
  5. Step 5: Solve for x
    x = 6,152.68/85.13
  6. Step 6: Final answer
    x = 72.27

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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.