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Finding the Fourth Proportional to 137.56, 206.35 and 64.42

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Solution

The fourth proportional to 137.56, 206.35 and 64.42 is: 96.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.56 : 206.35 = 64.42 : x
  2. Step 2: Convert to fraction form
    137.56/206.35 = 64.42/x
  3. Step 3: Cross multiply
    137.56x = 206.35 × 64.42
  4. Step 4: Simplify right side
    137.56x = 13,293.07
  5. Step 5: Solve for x
    x = 13,293.07/137.56
  6. Step 6: Final answer
    x = 96.63

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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.