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Finding the Fourth Proportional to 135.70, 186.98 and 115.04

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Solution

The fourth proportional to 135.70, 186.98 and 115.04 is: 158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.70 : 186.98 = 115.04 : x
  2. Step 2: Convert to fraction form
    135.70/186.98 = 115.04/x
  3. Step 3: Cross multiply
    135.70x = 186.98 × 115.04
  4. Step 4: Simplify right side
    135.70x = 21,510.07
  5. Step 5: Solve for x
    x = 21,510.07/135.70
  6. Step 6: Final answer
    x = 158.51

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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.