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Finding the Fourth Proportional to 137.24, 204.98 and 118.03

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Solution

The fourth proportional to 137.24, 204.98 and 118.03 is: 176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 204.98 = 118.03 : x
  2. Step 2: Convert to fraction form
    137.24/204.98 = 118.03/x
  3. Step 3: Cross multiply
    137.24x = 204.98 × 118.03
  4. Step 4: Simplify right side
    137.24x = 24,193.79
  5. Step 5: Solve for x
    x = 24,193.79/137.24
  6. Step 6: Final answer
    x = 176.29

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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.