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Finding the Fourth Proportional to 181.54, 271.18 and 135.64

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Solution

The fourth proportional to 181.54, 271.18 and 135.64 is: 202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.54 : 271.18 = 135.64 : x
  2. Step 2: Convert to fraction form
    181.54/271.18 = 135.64/x
  3. Step 3: Cross multiply
    181.54x = 271.18 × 135.64
  4. Step 4: Simplify right side
    181.54x = 36,782.86
  5. Step 5: Solve for x
    x = 36,782.86/181.54
  6. Step 6: Final answer
    x = 202.62

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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.