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Finding the Fourth Proportional to 397.94, 596.86 and 154.40

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Solution

The fourth proportional to 397.94, 596.86 and 154.40 is: 231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.94 : 596.86 = 154.40 : x
  2. Step 2: Convert to fraction form
    397.94/596.86 = 154.40/x
  3. Step 3: Cross multiply
    397.94x = 596.86 × 154.40
  4. Step 4: Simplify right side
    397.94x = 92,151.81
  5. Step 5: Solve for x
    x = 92,151.81/397.94
  6. Step 6: Final answer
    x = 231.58

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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.