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Finding the Fourth Proportional to 523.55, 785.30 and 138.80

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Solution

The fourth proportional to 523.55, 785.30 and 138.80 is: 208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.55 : 785.30 = 138.80 : x
  2. Step 2: Convert to fraction form
    523.55/785.30 = 138.80/x
  3. Step 3: Cross multiply
    523.55x = 785.30 × 138.80
  4. Step 4: Simplify right side
    523.55x = 108,995.71
  5. Step 5: Solve for x
    x = 108,995.71/523.55
  6. Step 6: Final answer
    x = 208.19

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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.