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Finding the Fourth Proportional to 181.59, 250.59 and 102.91

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Solution

The fourth proportional to 181.59, 250.59 and 102.91 is: 142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.59 : 250.59 = 102.91 : x
  2. Step 2: Convert to fraction form
    181.59/250.59 = 102.91/x
  3. Step 3: Cross multiply
    181.59x = 250.59 × 102.91
  4. Step 4: Simplify right side
    181.59x = 25,787.74
  5. Step 5: Solve for x
    x = 25,787.74/181.59
  6. Step 6: Final answer
    x = 142.01

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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.