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Finding the Fourth Proportional to 85.96, 118.54 and 65.31

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Solution

The fourth proportional to 85.96, 118.54 and 65.31 is: 90.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.96 : 118.54 = 65.31 : x
  2. Step 2: Convert to fraction form
    85.96/118.54 = 65.31/x
  3. Step 3: Cross multiply
    85.96x = 118.54 × 65.31
  4. Step 4: Simplify right side
    85.96x = 7,741.30
  5. Step 5: Solve for x
    x = 7,741.30/85.96
  6. Step 6: Final answer
    x = 90.06

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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.