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Finding the Fourth Proportional to 138.78, 206.73 and 135.63

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Solution

The fourth proportional to 138.78, 206.73 and 135.63 is: 202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.78 : 206.73 = 135.63 : x
  2. Step 2: Convert to fraction form
    138.78/206.73 = 135.63/x
  3. Step 3: Cross multiply
    138.78x = 206.73 × 135.63
  4. Step 4: Simplify right side
    138.78x = 28,038.79
  5. Step 5: Solve for x
    x = 28,038.79/138.78
  6. Step 6: Final answer
    x = 202.04

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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.