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Finding the Fourth Proportional to 528.40, 792.62 and 138.38

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Solution

The fourth proportional to 528.40, 792.62 and 138.38 is: 207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.40 : 792.62 = 138.38 : x
  2. Step 2: Convert to fraction form
    528.40/792.62 = 138.38/x
  3. Step 3: Cross multiply
    528.40x = 792.62 × 138.38
  4. Step 4: Simplify right side
    528.40x = 109,682.76
  5. Step 5: Solve for x
    x = 109,682.76/528.40
  6. Step 6: Final answer
    x = 207.58

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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.