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Finding the Fourth Proportional to 528.48, 792.69 and 138.48

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Solution

The fourth proportional to 528.48, 792.69 and 138.48 is: 207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.48 : 792.69 = 138.48 : x
  2. Step 2: Convert to fraction form
    528.48/792.69 = 138.48/x
  3. Step 3: Cross multiply
    528.48x = 792.69 × 138.48
  4. Step 4: Simplify right side
    528.48x = 109,771.71
  5. Step 5: Solve for x
    x = 109,771.71/528.48
  6. Step 6: Final answer
    x = 207.71

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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.