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Finding the Fourth Proportional to 113.99, 157.22 and 86.31

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Solution

The fourth proportional to 113.99, 157.22 and 86.31 is: 119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.99 : 157.22 = 86.31 : x
  2. Step 2: Convert to fraction form
    113.99/157.22 = 86.31/x
  3. Step 3: Cross multiply
    113.99x = 157.22 × 86.31
  4. Step 4: Simplify right side
    113.99x = 13,569.23
  5. Step 5: Solve for x
    x = 13,569.23/113.99
  6. Step 6: Final answer
    x = 119.04

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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.