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Finding the Fourth Proportional to 523.63, 785.45 and 138.88

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Solution

The fourth proportional to 523.63, 785.45 and 138.88 is: 208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.63 : 785.45 = 138.88 : x
  2. Step 2: Convert to fraction form
    523.63/785.45 = 138.88/x
  3. Step 3: Cross multiply
    523.63x = 785.45 × 138.88
  4. Step 4: Simplify right side
    523.63x = 109,083.30
  5. Step 5: Solve for x
    x = 109,083.30/523.63
  6. Step 6: Final answer
    x = 208.32

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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.