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Finding the Fourth Proportional to 113.45, 170.09 and 86.00

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Solution

The fourth proportional to 113.45, 170.09 and 86.00 is: 128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.45 : 170.09 = 86.00 : x
  2. Step 2: Convert to fraction form
    113.45/170.09 = 86.00/x
  3. Step 3: Cross multiply
    113.45x = 170.09 × 86.00
  4. Step 4: Simplify right side
    113.45x = 14,626.46
  5. Step 5: Solve for x
    x = 14,626.46/113.45
  6. Step 6: Final answer
    x = 128.93

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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.