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Finding the Fourth Proportional to 528.63, 792.87 and 138.66

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Solution

The fourth proportional to 528.63, 792.87 and 138.66 is: 207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.63 : 792.87 = 138.66 : x
  2. Step 2: Convert to fraction form
    528.63/792.87 = 138.66/x
  3. Step 3: Cross multiply
    528.63x = 792.87 × 138.66
  4. Step 4: Simplify right side
    528.63x = 109,939.35
  5. Step 5: Solve for x
    x = 109,939.35/528.63
  6. Step 6: Final answer
    x = 207.97

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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.