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Finding the Fourth Proportional to 137.15, 189.52 and 102.32

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Solution

The fourth proportional to 137.15, 189.52 and 102.32 is: 141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.15 : 189.52 = 102.32 : x
  2. Step 2: Convert to fraction form
    137.15/189.52 = 102.32/x
  3. Step 3: Cross multiply
    137.15x = 189.52 × 102.32
  4. Step 4: Simplify right side
    137.15x = 19,391.17
  5. Step 5: Solve for x
    x = 19,391.17/137.15
  6. Step 6: Final answer
    x = 141.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.