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Finding the Fourth Proportional to 85.64, 129.23 and 82.32

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Solution

The fourth proportional to 85.64, 129.23 and 82.32 is: 124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.64 : 129.23 = 82.32 : x
  2. Step 2: Convert to fraction form
    85.64/129.23 = 82.32/x
  3. Step 3: Cross multiply
    85.64x = 129.23 × 82.32
  4. Step 4: Simplify right side
    85.64x = 10,638.21
  5. Step 5: Solve for x
    x = 10,638.21/85.64
  6. Step 6: Final answer
    x = 124.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.