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Finding the Fourth Proportional to 135.81, 202.50 and 129.06

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Solution

The fourth proportional to 135.81, 202.50 and 129.06 is: 192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.81 : 202.50 = 129.06 : x
  2. Step 2: Convert to fraction form
    135.81/202.50 = 129.06/x
  3. Step 3: Cross multiply
    135.81x = 202.50 × 129.06
  4. Step 4: Simplify right side
    135.81x = 26,134.65
  5. Step 5: Solve for x
    x = 26,134.65/135.81
  6. Step 6: Final answer
    x = 192.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.