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Finding the Fourth Proportional to 86.09, 128.87 and 64.29

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Solution

The fourth proportional to 86.09, 128.87 and 64.29 is: 96.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.09 : 128.87 = 64.29 : x
  2. Step 2: Convert to fraction form
    86.09/128.87 = 64.29/x
  3. Step 3: Cross multiply
    86.09x = 128.87 × 64.29
  4. Step 4: Simplify right side
    86.09x = 8,285.27
  5. Step 5: Solve for x
    x = 8,285.27/86.09
  6. Step 6: Final answer
    x = 96.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.