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Finding the Fourth Proportional to 528.41, 792.41 and 181.64

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Solution

The fourth proportional to 528.41, 792.41 and 181.64 is: 272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.41 : 792.41 = 181.64 : x
  2. Step 2: Convert to fraction form
    528.41/792.41 = 181.64/x
  3. Step 3: Cross multiply
    528.41x = 792.41 × 181.64
  4. Step 4: Simplify right side
    528.41x = 143,935.79
  5. Step 5: Solve for x
    x = 143,935.79/528.41
  6. Step 6: Final answer
    x = 272.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.