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Finding the Fourth Proportional to 528.37, 792.55 and 138.33

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Solution

The fourth proportional to 528.37, 792.55 and 138.33 is: 207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.37 : 792.55 = 138.33 : x
  2. Step 2: Convert to fraction form
    528.37/792.55 = 138.33/x
  3. Step 3: Cross multiply
    528.37x = 792.55 × 138.33
  4. Step 4: Simplify right side
    528.37x = 109,633.10
  5. Step 5: Solve for x
    x = 109,633.10/528.37
  6. Step 6: Final answer
    x = 207.49

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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.