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Finding the Fourth Proportional to 397.45, 596.14 and 175.11

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Solution

The fourth proportional to 397.45, 596.14 and 175.11 is: 262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.45 : 596.14 = 175.11 : x
  2. Step 2: Convert to fraction form
    397.45/596.14 = 175.11/x
  3. Step 3: Cross multiply
    397.45x = 596.14 × 175.11
  4. Step 4: Simplify right side
    397.45x = 104,390.08
  5. Step 5: Solve for x
    x = 104,390.08/397.45
  6. Step 6: Final answer
    x = 262.65

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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.