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Finding the Fourth Proportional to 137.54, 205.15 and 117.02

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Solution

The fourth proportional to 137.54, 205.15 and 117.02 is: 174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.54 : 205.15 = 117.02 : x
  2. Step 2: Convert to fraction form
    137.54/205.15 = 117.02/x
  3. Step 3: Cross multiply
    137.54x = 205.15 × 117.02
  4. Step 4: Simplify right side
    137.54x = 24,006.10
  5. Step 5: Solve for x
    x = 24,006.10/137.54
  6. Step 6: Final answer
    x = 174.54

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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.