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Finding the Fourth Proportional to 397.58, 596.46 and 264.14

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Solution

The fourth proportional to 397.58, 596.46 and 264.14 is: 396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.58 : 596.46 = 264.14 : x
  2. Step 2: Convert to fraction form
    397.58/596.46 = 264.14/x
  3. Step 3: Cross multiply
    397.58x = 596.46 × 264.14
  4. Step 4: Simplify right side
    397.58x = 157,548.94
  5. Step 5: Solve for x
    x = 157,548.94/397.58
  6. Step 6: Final answer
    x = 396.27

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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.