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Finding the Fourth Proportional to 251.64, 346.77 and 181.58

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Solution

The fourth proportional to 251.64, 346.77 and 181.58 is: 250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.64 : 346.77 = 181.58 : x
  2. Step 2: Convert to fraction form
    251.64/346.77 = 181.58/x
  3. Step 3: Cross multiply
    251.64x = 346.77 × 181.58
  4. Step 4: Simplify right side
    251.64x = 62,964.72
  5. Step 5: Solve for x
    x = 62,964.72/251.64
  6. Step 6: Final answer
    x = 250.21

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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.