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Finding the Fourth Proportional to 397.39, 595.86 and 123.40

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Solution

The fourth proportional to 397.39, 595.86 and 123.40 is: 185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.39 : 595.86 = 123.40 : x
  2. Step 2: Convert to fraction form
    397.39/595.86 = 123.40/x
  3. Step 3: Cross multiply
    397.39x = 595.86 × 123.40
  4. Step 4: Simplify right side
    397.39x = 73,529.12
  5. Step 5: Solve for x
    x = 73,529.12/397.39
  6. Step 6: Final answer
    x = 185.03

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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.