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Finding the Fourth Proportional to 86.30, 119.17 and 64.43

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Solution

The fourth proportional to 86.30, 119.17 and 64.43 is: 88.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.30 : 119.17 = 64.43 : x
  2. Step 2: Convert to fraction form
    86.30/119.17 = 64.43/x
  3. Step 3: Cross multiply
    86.30x = 119.17 × 64.43
  4. Step 4: Simplify right side
    86.30x = 7,678.12
  5. Step 5: Solve for x
    x = 7,678.12/86.30
  6. Step 6: Final answer
    x = 88.97

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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.