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Finding the Fourth Proportional to 86.49, 119.31 and 57.02

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Solution

The fourth proportional to 86.49, 119.31 and 57.02 is: 78.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.49 : 119.31 = 57.02 : x
  2. Step 2: Convert to fraction form
    86.49/119.31 = 57.02/x
  3. Step 3: Cross multiply
    86.49x = 119.31 × 57.02
  4. Step 4: Simplify right side
    86.49x = 6,803.06
  5. Step 5: Solve for x
    x = 6,803.06/86.49
  6. Step 6: Final answer
    x = 78.66

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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.