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Finding the Fourth Proportional to 137.42, 205.32 and 102.58

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Solution

The fourth proportional to 137.42, 205.32 and 102.58 is: 153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.42 : 205.32 = 102.58 : x
  2. Step 2: Convert to fraction form
    137.42/205.32 = 102.58/x
  3. Step 3: Cross multiply
    137.42x = 205.32 × 102.58
  4. Step 4: Simplify right side
    137.42x = 21,061.73
  5. Step 5: Solve for x
    x = 21,061.73/137.42
  6. Step 6: Final answer
    x = 153.27

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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.