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Finding the Fourth Proportional to 399.05, 598.69 and 125.18

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Solution

The fourth proportional to 399.05, 598.69 and 125.18 is: 187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.05 : 598.69 = 125.18 : x
  2. Step 2: Convert to fraction form
    399.05/598.69 = 125.18/x
  3. Step 3: Cross multiply
    399.05x = 598.69 × 125.18
  4. Step 4: Simplify right side
    399.05x = 74,944.01
  5. Step 5: Solve for x
    x = 74,944.01/399.05
  6. Step 6: Final answer
    x = 187.81

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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.