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Finding the Fourth Proportional to 135.76, 204.34 and 122.50

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Solution

The fourth proportional to 135.76, 204.34 and 122.50 is: 184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.76 : 204.34 = 122.50 : x
  2. Step 2: Convert to fraction form
    135.76/204.34 = 122.50/x
  3. Step 3: Cross multiply
    135.76x = 204.34 × 122.50
  4. Step 4: Simplify right side
    135.76x = 25,031.65
  5. Step 5: Solve for x
    x = 25,031.65/135.76
  6. Step 6: Final answer
    x = 184.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.